The additional information to complete the proof by SAS is
D GN ≅ AU
How to make the proof by SASSAS congruence is a term used in geometry to describe a specific criterion for proving that two triangles are congruent (meaning they have the same size and shape). The letters "SAS" in SAS congruence stand for "side-angle-side."
The parts used to complete the proof are
sides BG ≅ BA given
angles BGN ≅ BAU given
sides GN ≅ AU
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Is my answer correct?
Answer:
Your answer is correct
Step-by-step explanation:
SAS triangle is proven through b option.
Hope this helps....
Have a nice day!!!!
Parents volunteer at belmont high school are processing yearbook order forms
Answer:
what
Step-by-step explanation:
what do I help with?
Help plz!!!!!!!!!
*tysm*
-7.5x = -5.61 - 0.39
x = -6 /-7.5
x = 0.8
Solve:
x+ 10 - 5 = -9
Find the slope of the line \mathrm{y}=5\mathrm{x}+4y=5x+4.
The slope of the line y = 5x + 4 is 5.
Slope i.e. m = 5.
Given, a line of equation
y = 5x + 4
We have to find the slope of the given line,
Now, as we know the slope-intercept form of a line i.e.
y = mx + c
where, m is the slope of the line and c is the y-intercept of the line.
So, using the same form in the line, we get
y = 5x + 4
the slope of the line is 5.
Hence, the slope of the line y = 5x + 4 is 5.
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Can someone answer this and show me how u got it cause I’m kind of confused on this one
Answer:
26 1/32
Step-by-step explanation:
Doing good so far
To make an exponent positive, you need to make the number a fraction and move it to the opposite of what it is in (so 4^-3 = 1/4^3)
25 + 1 + (1/(4^3) + 1/(2^6))
26 + (1/64 + 1/64)
26 + 2/64
26 + 1/32
= 26 1/32
Joaquin wants to make his famous chocolate chip cookies to bring to his friend's birthday party. the original recipe serves 5 people and requires one quarter of a cup of butter, but he needs it to serve 28 people. how many cups of butter will he need? 2 and one fourth cups 1 and one fifth cups 1 and two fifths cups 1 and one fourth cups
Joaquin will need 1 and two fifths cups to make his famous chocolate chip cookies for his friend's birthday party
To solve this problem we will use a rule of three with the problem information:
5 people-------- 1/4 cup of butter
28 people -------- x
Applying the rule of three we get:
x = ( 28 people * 1/4 cup of butter) / 5 people
x = 1,4 cup of butter
x = 1 + 2/5 cup of butter = 1 and two fifths cups
What is rule of three?It describes the proportionality of 3 known data and an unknown data. When you have more than 3 known facts that are involved in the proportionality, it is known as a compound rule. The rule of three is also known as a direct proportions.
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Write the perimeter of the figure.
3x + 2
6x
5x
not to scale
not to scale
the answer should be
\(14x + 2\)
The perimeter of triangle is \((14x+2)\) unit.
Perimeter of triangle :The perimeter of triangle is sum of length of all three sides of triangle.
From figure, sides of triangle are,
\(3x+2,5x,6x\)
Now, find perimeter of given triangle,
\(Perimeter=3x+2+5x+6x\\\\Perimeter=8x+6x+2\\\\Perimeter=14x+2\)
Thus, the perimeter of triangle is \((14x+2)\) unit.
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Learning task 4 :in your answer sheet,copy and answer.
1.transform x2+y28x-64=0 in cebnter radius form of the equation of the circle
2.find the center and radius of a circle represented by the equation below.
a. x2+y2=49
b.(x+7)2+(y+8)2=64
3.write the standard equation of a circle with the given the center and radius
A .(0,0);radius=7
b.(-4,4);radius=5
4.graph the circle whose equation is x2+y2-6x+4y-3=0
Fatulong namn po!!
Answer:
kaya ko yan. Ano fb mo HAHAHA
Dr. Reyes is examining whether exercise is linked to mood. She recruits a sample of college students and asks them to answer whether they exercised at least three times last week (yes or no) and to rate their mood in the last week (1: Not happy at all to 5: Very happy). Her results show that students who exercised in the last week also reported happier moods. Can Dr. Reyes make a causal inference from her study
The answer to whether Dr. Reyes can make a causal inference from the study is;
No, she can't make a casual inference from the study because she met only one of the three criteria's for causality.
To answer this question, we need to know the conditions for causality in statistics research because causality gives the relationships such that a change in one variable would have to result in a change in another variable.
Now, the three conditions are;
1) Covariation; This condition means that the causal variable must have to vary with with the variable it is assumed to cause in a systematic manner.
2) Temporal precedence; Thus condition simply means that cause must precede effect. In summary it denotes that the variable that has the causal effect must come before the effect that it is meant to cause.
3) Control for extraneous variables; This condition means that results of an experiment or research must not be due to factors outside of the experiment/research
Now, in our question, he fulfilled the covariation condition because the
result of the research is tied to the responses from the sample students.
However, she did not fulfill the temporal precedence because the cause of
their moods did not precede the effects in his research.
Also, she did not fulfill the condition of control of extraneous variables
because other factors outside of the research itself may have affected their
moods.
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Suppose we know the prices of zero-coupon bonds for different maturities with par values all being $1,000. The price of a one-year zero coupon bond is $959.63; The price of a two-year zero- coupon bond is $865.20; The price of a three-year zero-coupon bond is $777.77; The price of a four-year zero-coupon bond is $731.74. What is, according to the liquidity performance hypothesis, the expected forward rate in the third year if ∆ is 1%? What is the yield to maturity on a three-year zero-coupon bond?
According to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.
According to the liquidity preference hypothesis, the interest rate for a long-term investment is expected to be equal to the average short-term interest rate over the investment period. In this case, the expected forward rate for the third year is stated as 4.28%.
To calculate the expected forward rate for the third year, we first need to calculate the prices of zero-coupon bonds for each year. Let's start by calculating the price of a four-year zero-coupon bond, which is determined to be $731.74.
The rate of return on a four-year zero-coupon bond is then calculated as follows:
Rate of return = (1000 - 731.74) / 731.74 = 0.3661 = 36.61%.
Next, we use the yield of the four-year zero-coupon bond to calculate the price of a three-year zero-coupon bond, which is found to be $526.64.
The expected rate in the third year can be calculated using the formula:
Expected forward rate for year 3 = (Price of 1-year bond) / (Price of 2-year bond) - 1
By substituting the values, we find:
Expected forward rate for year 3 = ($959.63 / $865.20) - 1 = 0.1088 or 10.88%
If ∆ (delta) is 1%, we can calculate the expected forward rate in the third year as follows:
Expected forward rate for year 3 = (1 + 0.1088) × (1 + 0.01) - 1 = 0.1218 or 12.18%
Therefore, according to the liquidity preference hypothesis, the expected forward rate in the third year, when ∆ is 1%, is 12.18%.
Additionally, the yield to maturity on a three-year zero-coupon bond can be calculated using the formula:
Yield to maturity = (1000 / Price of bond)^(1/n) - 1
Substituting the values, we find:
Yield to maturity = (1000 / $526.64)^(1/3) - 1 = 0.1035 or 10.35%
Hence, the yield to maturity on a three-year zero-coupon bond is 10.35%.
In conclusion, according to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.
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A sprinkler can water between 1 and 130 square yards of a lawn. The length L in inches of rotating pipe needed to water A square yards is given by the function L=119.75 square root of A. How much area can be watered if the length of the pipe is 600, 900, or 1,000 inches long?
Answer:
\(25.1\ \text{inches}^2\)
\(56.5\ \text{inches}^2\)
\(69.7\ \text{inches}^2\)
Step-by-step explanation:
The length of the pipe is given by the function
\(L=119.75\sqrt{A}\)
where A is the area
\(A=(\dfrac{L}{119.75})^2\)
For \(L=600\ \text{in}\)
\(A=(\dfrac{600}{119.75})^2\\\Rightarrow A=25.1\ \text{inches}^2\)
Area watered when L = 600 inches is \(25.1\ \text{inches}^2\)
For \(L=900\ \text{in}\)
\(A=(\dfrac{900}{119.75})^2\\\Rightarrow A=56.5\ \text{inches}^2\)
Area watered when L = 900 inches is \(56.5\ \text{inches}^2\)
For \(L=1000\ \text{in}\)
\(A=(\dfrac{1000}{119.75})^2\\\Rightarrow A=69.7\ \text{inches}^2\)
Area watered when L = 1000 inches is \(69.7\ \text{inches}^2\)
Combine the like terms to create an equivalent expression −n+(−3)+3n+5
Answer:
2n+2
Step-by-step explanation:
Kaylee is 1.45 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 39.55 meters. She stands 34.2 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answer:
Step-by-step explanation:
We can use the ratios of similar triangles to solve this problem. Let's call the height of the tree "h". Then, we have two similar right triangles:
Kaylee's triangle: the height is 1.45 meters, the length of the shadow is 34.2 meters, and the angle between the height and the shadow is theta.
Tree's triangle: the height is h meters, the length of the shadow is 39.55 meters, and the angle between the height and the shadow is also theta.
Using these two triangles, we can set up the following proportion:
h / 39.55 = 1.45 / 34.2
Cross-multiplying, we get:
h * 34.2 = 39.55 * 1.45
Simplifying:
h = (39.55 * 1.45) / 34.2
h = 1.68176
So the height of the tree is approximately 1.68 meters (to the nearest hundredth of a meter).
2x^3=128
work out the value of x
Step-by-step explanation:
2x^3=128
or,x^3=128/2
or,x^3=64
or,x=3√64
or,x=4
HELPPPPP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER (see attachment)
Step-by-step explanation:
(b) since a negative number added to a positive one it will be positive
Answer:
2x² + 5x - 12
steps:
→ (x+4)(2x-3)
By distributive method:
→ (x)(2x) +4(2x) +x(-3) +4(-3)
simplifying:
→ 2x² + 8x - 3x - 12
final answer:
→ 2x² + 5x - 12
can anyone help with this? 20 points
Answer: 96 ft ^2
Step-by-step explanation:
8.0 • 12.0 = 96 ft
double it ^2
B. bc first u do12.0*8.0 which equals 96 and then times by 2 to get ur answer hope this helpss
Write the decimal expansion for 4/33
To get the decimal expansion of
\(\frac{4}{33}\)We need to divide both numbers:
This is a periodic number. As we can see, the period is 12 after the decimal point, and it will repeat to the infinity:
\(0.12121212121212\ldots\ldots\text{..}\)We can represent it as:
\(0.\bar{12}\)or
\(undefined\)The decimal expression for 4/33 is 0.121
The method for converting a fraction into a decimal expression can be done by dividing 4 by 33
First step would be dividing the 4 into 33 parts
As we know that 4 cannot be divided into 33 parts , hence we have to take an extra zero while dividing them, and while putting an extra zero in front of 4 we have to put a decimal sign.
4/33 = 4÷33
4÷33 = 0.121
now we have to put an extra zero in front of 4 in order to make it divisible by 33
Hence after calculation, we will get the answer nearest to 3 decimal places as 0.121
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declare two double variables, one named length with a value of 3.5 and the other named width with a value of 1.55.
named width in java with a value of 1.55.
double length = 3.5; double width = 1.55;
Double is a data type in Java that supports storing decimal numbers. It is used to represent values that include a fractional component and is a 64-bit floating-point data type. When exact decimal numbers are required, as in financial or scientific computations, the double data type is frequently utilized. A double's range is roughly ±\(5.0 \times 10^{-324}\) to ±\(1.7 \times 10^{308\) having a 15–17 decimal digit degree of accuracy.
For example:
double myDouble = 3.14; Alternatively, you may define a double variable without first giving it a value and then give it one later on in your code.
3.5 double length, 1.55 double width;
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1. Which best describes the domain of the function
shown below?
A. {all real numbers}
B. {integers)
C. {natural numbers)
D. {whole numbers}
Answer:
A
Step-by-step explanation:
it includes all numbers
if f(x) + x2[f(x)]5 = 34 and f(1) = 2, find f '(1).
if f(x) +\(x^{2}\) \([ f(x) ]^{5}\) = 34 and f(1) = 2, then f '(1) = - \(\frac{64}{81}\)
f ′(x )'s indicates that it is derived from f (x). The second notation is dydx. The instantaneous rate at which y changes in relation to x is shown by this notation.
f(x) + \(x^{2}\) \([ f(x) ]^{5}\) = 34
differentiate with respect to x :
f' (x) + \(x^{2}\) . 5 \([ f(x) ]^{4}\) f'(x) + \([ f(x) ]^{5}\) 2x = 0
putting x = 1
f' (1) + \(1^{2}\) . 5 \(f(1)^{4}\) f'(1) + \(f(1)^{5}\) 2(1) = 0
f' (1) + 1.5 \((2)^{4}\) f'(1) + \((2)^{5}\) . 2 = 0
f' (1) + 80 f' (1) = - 64
81 f' (1) = - 64
f' (1) = - \(\frac{64}{81}\)
thus , the f ' (1) is found.
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Parallel to y=-3x+4,xintercept at 4
Answer: Equation: y=−3x+12
Explanation:
The x-intercept means y=0andx=4
Use the equation:
0=−3⋅4+b
Add 3⋅4=12 to both sides:
12=12
−12
=b→b=12
plz mark brainleist
a(b c) = ab ac is an example of which boolean algebra property?
The boolean algebra property demonstrated by A(b c) = ab ac is called the distributive property. This property states that the product of a term with a sum of two or more terms can be distributed or split into the product of each term with the initial term.
In this case, the term A is being distributed to the sum of terms (b c), resulting in the product of A and b, and the product of A and c.
The distributive property is one of the most fundamental and useful properties in boolean algebra, and it is used extensively in simplifying and manipulating boolean expressions. It is also one of the basic laws of algebra and is applicable to both addition and multiplication.
In general, the distributive property allows for the simplification of complex expressions by breaking them down into simpler terms. This makes boolean algebra an important tool in digital logic and computer science, where it is used to design and optimize digital circuits and systems.
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A car can travel 220 km on 20 L of gasoline how much gasoline will you need to call 143 km
Answer:
0.65
Step-by-step explanation:
143/220=0.65
=0.65×1
=0.65
Answer:
0,65
Step-by-step explanation:
143/220=0,65
=0,65
=0,65
Please help with this
Answer:
What is your question?
______________________________
Please rate my answer and say thanks!
9)
Robert bought 3 pound of grapes and
divided them into 6 equal portions. What
is the weight of each portion?
Answer:
each portion would be 8 ounces
Answer:1/2 lb or 9 oz
Step-by-step explanation: 1 pound = 18 oz
3lbs*18oz/lb = 54oz
54oz/6 = 9 oz in each portion [9oz*1lb/18oz = 1/2 lb]
the ratio of the temperature of room S to the temperature of room T is 2:3 and the ratio of the temperature of room T to the temperature of room U is 2:3 . Find the ratio of the temperature of room S to the temperature of room U
Step-by-step explanation:
s:t=2:3
t:u=2:3
s:u=?
s/u=2/3
What does x equal in the equation 4x + (−3) = 5x + 3?
Answer:
x = -6
Step-by-step explanation:
First write the equation.
4x + -3 = 5x + 3
The isolate x in the equation. Add -4x to both sides.
4x + -3 + -4x = 5x + 3 + -4x
-3 = x + 3
Then add -3 to both sides.
-3 + -3 = x + 3 + -3
-6 = x
Now you have the value of x = -6.
Cheers.
Answer:
x = -6Step-by-step explanation:
4x + (−3) = 5x + 3+3 +3
4x = 5x + 6-5x -5x
-x = 6÷(-1) ÷(-1)
x = - 6(q13) Evaluate the definite integral.
The definite integral in this problem has the value given as follows:
B. 42.
How to solve the definite integral?The definite integral in the context of this problem is given as follows:
\(\int_0^2 (x^7 + 5) dx\)
Applying the power of x integral rule, the result of the integral is given as follows:
\(\frac{x^8}{8} + 5x\)
At x = 2, the numeric value of the integral is given as follows:
\(\frac{2^8}{8} + 5(2) = 42\)
At x = 0, the numeric value of the integral is given as follows:
0.
(as both terms involve a multiplication by x and x = 0).
Applying the Fundamental Theorem of Calculus, the result of the integral is given as follows:
42 - 0 = 42.
Hence option B is the correct option in the context of this problem.
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Circle T is shown where points Q and S are on the circle and ZQTS = 75°.
O
T
75°
S
The ratio of the central angle, ZQTS, to the whole circle is [DROP DOWN 1].
QS represents [DROP DOWN 2] of the circle's circumference.
which is approximately 3.864 times the length of QS.the circle is approximately 4 times the length of QS, or approximately 4 times 0.966 times the length of QS,
What is angle?An angle is a measure of the amount of turn between two lines or rays that meet at a common point, known as the vertex of the angle. The angle is typically measured in degrees or radians. In a Euclidean plane, an angle can range from 0 degrees (corresponding to two lines that are parallel to each other) to 180 degrees (corresponding to two lines that form a straight line). An angle greater than 180 degrees is called a reflex angle. Angles are used in many areas of mathematics and physics, such as geometry, trigonometry, and calculus, as well as in real-world applications such as navigation, architecture, and engineering.
by the question.
The ratio of the central angle ZQTS to the whole circle is 1/12, or 0.0833 (rounded to four decimal places). This is because there are 360 degrees in a circle, and 75 is 1/12 of 360.
QS represents 1/4 of the circle's circumference. This is because the central angle ZQTS is 75 degrees, which is 1/3 of a right angle (90 degrees). An inscribed angle that intercepts the same arc as a 1/3 angle will have twice the measure of the 1/3 angle, or 150 degrees. Thus, angle QTS is 150 degrees. Angle QOS is also 150 degrees, since it intercepts the same arc as QTS. Therefore, angle QOT is 60 degrees, since the angles in triangle QOT add up to 180 degrees. Since triangle QOT is an equilateral triangle, QT and QS are equal in length, and angle QTS is 75 degrees, we can use the sine function to find the length of QS. The sine of 75 degrees is approximately 0.966, so QS represents approximately 0.966 times the circumference of the circle. Since QS represents 1/4 of the circumference, the circumference of the circle is approximately 4 times the length of QS, or approximately 4 times 0.966 times the length of QS,
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