Which congruence theorem can be used to prove △WXZ ≅ △YZX? Triangles W X Z and Y Z X share side X Z. Angles W X Z and X Z Y are right angles. Angles X W Z and X Y Z are congruent. AAS ASA SAS HL
Answer:
The correct option is AAS.
Step-by-step explanation:
Consider the diagram below.
It is provided that The triangles △ WXZ and △ YZX share a side XZ.Angles ∠WXZ and ∠XZY are right angles.Angles ∠XWZ and ∠XYZ are congruent.If two angles are congruent it implies that they are same in degrees or radians.
So, the angles ∠XWZ and ∠XYZ are equal.
So, in the diagram below, one of the triangles have two angles that are equal to the corresponding angles on the other triangle and the two triangles share a side.
Then according to the Angle-Angle-Side (AAS) statement the triangles △ WXZ and △ YZX are congruent.
Thus, the correct option is AAS.
The congruence theorem that can be used to prove that △WXZ ≅ △YZX is; AAS
We are told that;ΔWXZ and ΔYZX share side XZ
∠WXZ and ∠XZY are right angles
∠XWZ and ∠XYZ are congruent
Now, from the given parameters, we can say that from reflexive property of congruence, XZ is congruent to itself and thus, we have one side of both triangles that is congruent.Secondly, since ∠WXZ and ∠XZY are right angles, it means they are equal and therefore congruent to each other.Lastly, we are told that ∠XWZ and ∠XYZ are congruent.In summary, we have 2 corresponding angles and one corresponding side that are equal but the corresponding side is not with the included angles and as such the triangles are congruent by AAS Congruency.Read more about AAS Congruency at; https://brainly.com/question/7727792
ill give brainliest!!!!
Answer:
(f ⋅ g)(x) = f(g(x)) = 5·√(9 - x^2)
The domain is: -3 ≤ x ≤ 3
(g ⋅ f)(x) = g(f(x)) = √(9 - (5·x)^2)
The domain is: -0.6 ≤ x ≤ 0.6
What the simplified radical form is
Answer:
3√7
Step-by-step explanation:
√63
√3x21
√3x3x7
3√7
Type equation for the line shown in the graph
Answer:
y = \(\frac{1}{2}\) x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line
m = \(\frac{5-3}{2+2}\) = \(\frac{2}{4}\) = \(\frac{1}{2}\) , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 5 ) , then
5 = 1 + c ⇒ c = 5 - 1 = 4
y = \(\frac{1}{2}\) x + 4 ← equation of line
Please help me with this!
Triangle A’B’C’ is a dilation of triangle ABC. What is the scale factor of the dilation?
The scale factor used in the dilation is 1/2
Determining the scale factor used.From the question, we have the following parameters that can be used in our computation:
ABC with vertices at A(-2, 6)A'B'C' with vertices at A'(-1, 3)The scale factor is calculated as
Scale factor = A'/A
Substitute the known values in the above equation, so, we have the following representation
Scale factor = (-1, 3)'/(-2, 6)
Evaluate
Scale factor = 1/2
Hence, the scale factor is 1/2
Read more about scale factor at
brainly.com/question/29229124
#SPJ1
Find the measure of each angle
Answer: x=36°
Step-by-step explanation:
The four interior angles of a quadrilateral always equal 360°, so:
(x+16)+(4x-8)+(4x-8)+x=360
Combine like terms:
360=10x+0
360=10x
36=x
Answer:
In image below
Step-by-step explanation:
please can someone help fr
Step-by-step explanation:
help with what because on this tab I can only see a picture icon and not the actual snap so I'd like to help but I really cant
Answer:
x = 116°
Step-by-step explanation:
Finding the value of 'x' in a polygon
\(\sf \boxed{\text{Sum of interior angles of a polygon = (n - 2)*180}}\)
= (5 - 2) *180
= 3*180
= 540°
90 + 119 + 86 + 129 +x = 540
424 + x = 540
x = 540 - 424
x = 116°
A swimming pool had 2.52.52, point, 5 million liters of water in it. Some water evaporated, and then the pool only had 222 million liters of water in it.What percent of the water evaporated?
Answer:
20%
Step-by-step explanation:
x = (\(\frac{2}{2.5}\)) * 100% = 80%
x = 20%
Therefore the answer is 20%
20%
Hope it's helpfull!
what percentage of total was spent playing football
Use the following statements to write a compound
statement for the disjunction -p or -q. Then find its truth
value.
p: There are 14 inches in 1 foot.
q: There are 3 feet in 1 yard.
The disjunction of -p or -q can be written as (-p) v (-q). So, we have to find the truth value of (-p) v (-q). So, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.
using the following statements: p: There are 14 inches in 1 foot.
q: There are 3 feet in 1 yard.
Solution: We know that 1 foot = 12 inches, which means that there are 14 inches in 1 foot can be written as 14 < 12. But this statement is false because 14 is not less than 12. Therefore, the negation of this statement is true, which gives us (-p) as true.
Now, we know that 1 yard = 3 feet, which means that there are 3 feet in 1 yard can be written as 3 > 1. This statement is true because 3 is greater than 1. Therefore, the negation of this statement is false, which gives us (-q) as false.
Now, we can use the values of (-p) and (-q) to find the truth value of (-p) v (-q) using the disjunction rule. The truth value of (-p) v (-q) is true if either (-p) or (-q) is true or both (-p) and (-q) are true. Since (-p) is true and (-q) is false, the disjunction of (-p) v (-q) is true. Hence, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.
For more questions on: compound statement
https://brainly.com/question/28794655
#SPJ8
the horizontal, continuous lintel on a classical building supported by columns is called a stylobate. T/F
The statement "the horizontal, continuous lintel on a classical building supported by columns is called a stylobate" is False.
The horizontal, continuous lintel on a classical building supported by columns is called an entablature, while the stylobate is the platform on which the columns stand.
In classical architecture, the entablature is the horizontal, continuous lintel that rests on top of the columns and consists of three parts: the architrave (the bottom layer), the frieze (the middle layer), and the cornice (the top layer). The entablature helps to unify the columns and create a sense of continuity across the facade of the building.
The stylobate, on the other hand, is the platform or base upon which the columns stand, and is usually elevated above ground level. Together, the stylobate and entablature form the colonnade, a defining feature of classical architecture.
Learn more about classical architecture :
https://brainly.com/question/15155708
#SPJ4
How to Convert 56 cm to Inches?
The answer is that 56 cm is equal to 22.05 inches.
Centimeters (cm) and inches (in) are units of length used to measure distances or lengths. Centimeters are part of the metric system, which is widely used around the world, while inches are part of the imperial system, which is still used in some countries, including the United States.
To convert centimeters to inches, you can use the conversion factor of 1 inch being equal to 2.54 centimeters. To convert 56 centimeters to inches, you would divide 56 by 2.54:
56 cm / 2.54 cm/in = 22.05 in
It's important to be precise when converting between different units of measurement, especially in science and engineering, where small inaccuracies can result in significant errors in calculations and results.
To learn more about cm to inches, visit
https://brainly.com/question/2632642
#SPJ11
The midpoint, M , of segment AB has coordinates (2,−1) . If endpoint A of the segment has coordinates (−3,5) , what are the coordinates of endpoint B ?
The coordinates of endpoint B are?
the coordinates of endpoint B are (7,7)
Answer:
Solution given:
M(x,y)=(2,-1)
A\((x_{1},y_{1})=(-3,5)\)
Let
B\((x_{2},y_{2})=(a,b)\)
now
by using mid point formula
x=\(\frac{x_{1}+x_{2}}{2}\)
$ubstituting value
2*2=-3+a
a=4+3
a=7
again
y=\(\frac{y_{1}+y_{2}}{2}\)
$ubstituting value
-1*2=5-b
b=5+2
b=7
the coordinates of endpoint B are (7,7)
pablo drank about 2 ? of juice with lunch.
A)cups
B)gallons
Answer:
2 cups
Step-by-step explanation:
a child could not survive 2 gallons of juice
Gabriella earns $17 an hour and gets a 15%
raise. With her raise, how much will she earn after working 40 hours?
A. $680
B. $702
C. $782
D. $796
c: 782 dollars
.15 times 17 is 2.55
17+2.55= 19.55
19.55 times 40=782
In the triangle below, suppose that mV = (x - 2)",mW = (x - 2)°, and m ZX=(4x+4)*Find the degree measure of each angle in the triangle.(x - 2)(4x + 4)m ZV =Х5?m ZW =001Xm 2x =(x - 2)°
SOLUTION
Consider the image given below.
From the image above,
\(\begin{gathered} \angle V=(x-2)^0 \\ \angle W=(x-2)^0 \\ \angle X=(4x+4)^0 \end{gathered}\)To find the measures of each angle, we need to obtain the value of small x in the diagram.
Applying the rule: Sum of angle in a triangle is 180 degrees
\(\angle V+\angle W+\angle X=180^0\)Then substitute the given expression, we have
\(\begin{gathered} (x-2)^0+(x-2)^0+(4x+4)^0=180^0 \\ Then \\ x-2+x-2+4x+4=180^0 \end{gathered}\)Collect like terms and add
\(\begin{gathered} x+x+4x-2-2+4=180^0 \\ 6x-4+4=180^0 \\ \text{then} \\ 6x=180 \end{gathered}\)Divide both sides by 6, we have
\(\begin{gathered} \frac{6x}{6}=\frac{180}{6} \\ hence \\ x=30 \end{gathered}\)hence, x=30
Then substitute the value of x to obtain the measure of each angles.
\(\begin{gathered} \angle V=(x-2)^0 \\ \text{Then x=30} \\ \angle V=30-2=28^0 \end{gathered}\)Since the triangle is an issoceles triangle, then
\(\angle W=28^0\)Hence
\(\begin{gathered} \angle X=(4x+4)^0 \\ \angle X=(4\times30+4)^0=(120+4)=124^0 \\ \text{hence} \\ \angle X=124^0 \end{gathered}\)Therefore
Answer : ∠V= 28°, ∠W=28°, ∠X=124°
What is 75% of 85$?
Pls help
Answer:63.75 :)
Step-by-step explanation:
Answer:
$63.75
Step-by-step explanation:
85 x 75/100
85/1 x 3/4
255/4 - > $63.75
- You should already know how to do this yourself as this is very easy and basic question.
halp meh i need to do this by tommarow
6/11
Step-by-step explanation:
hope it helps also what's the dot?
what’s the volume of the cylinder i need help
please !!!
Answer:
V= π ⋅ 4y^2 ⋅ 9x
Step-by-step explanation:
Put the variables from the picture into the equation
r=4y
h=9x
(^2 means squared)
Which set of numbers includes only integers?
Rational Numbers
Integers
Whole Numbers
Answer:
B
Step-by-step explanation:
Integers are like whole numbers, but they can also be negative.
Some examples of integers are -1, 2, 5 etc.
Evaluate the expression 5(-3) using a number line.
Answer: -15
Step-by-step explanation:
Answer:
Compare the treatment of the buffalo by these two groups of people.
Step-by-step explanation:
Native Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremoniesNative Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremoniesNative Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremoniesNative Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremoniesNative Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremonies
As Greg swam across an 80 - meter river, the current carried him 30 m downstream. How
far did he swim?
Answer:
85.44
Step-by-step explanation: bee go buzz squared by 2
Use the zeros of the following quadratic to find the x value of the vertex.
y=x^2+2x-24
A. -2
B. -1
C. 2
D. -4
Step-by-step explanation:
We can find the x-value of the vertex of the quadratic function y = x^2 + 2x - 24 by first finding the zeros of the function using the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = 2, and c = -24. Plugging in these values, we get:
x = (-2 ± sqrt(2^2 - 4(1)(-24))) / 2(1)
x = (-2 ± sqrt(100)) / 2
x = (-2 ± 10) / 2
So the zeros of the function are x = -6 and x = 4.
The x-value of the vertex is the midpoint between the zeros, which is simply the average of the two zeros:
x = (-6 + 4) / 2
x = -1
Therefore, the answer is B. -1.Solve for all values of x by factoring.
x^2+10x+12=2x+5
Answer:
x = -1, -7
Step-by-step explanation:
=> x² + 8x + 7 = 0
=> (x + 1) (x + 7) = 0
=> x = -1, -7
A company charges a shipping fee that is 4.5% of the purchase price for all items it ships. What is the fee to ship an item costs $56?
Answer: $2.52
Step-by-step explanation:
Since 4.5% = 0.045 we can just take that and multiply by the item cost, $56, and get $2.52. Therefore that is the fee.
nele is raising a baby squirrel. she weighs the squirrel each day and makes a note of the weight. after one month, she decides that she wants to create a display to show the squirrel's weights each day over the last month. which type of graph best represents the data?
Each day's weight can then be plotted as a point on the graph, and a line can be drawn connecting the points to show the trend in the squirrel's weight over time.
What is Graph ?
Graph can be defined as visual representation of data using given ordered pairs.
For tracking the weight of a baby squirrel over a month, a line graph would be the best option.
A line graph is used to display data that changes continuously over time, making it ideal for showing the daily weight of the squirrel over the course of a month.
The horizontal axis can represent the time (in days), and the vertical axis can represent the weight of the squirrel.
Therefore, Each day's weight can then be plotted as a point on the graph, and a line can be drawn connecting the points to show the trend in the squirrel's weight over time.
To learn more about Graph from given link.
https://brainly.com/question/17267403
#SPJ1
the given curve is rotated about the y-axis. find the area of the resulting surface. y = 1/4 x^2 − 1/2 ln(x), 3 ≤ x ≤ 5
To find the area of the resulting surface when the given curve y = 1/4x^2 - 1/2 ln(x) is rotated about the y-axis, we can use the Surface of Revolution formula:
Surface Area = 2 * pi * ∫[x * sqrt(1 + (dy/dx)^2)] dx from a to b
Here, a = 3 and b = 5.
First, we need to find the derivative of y with respect to x (dy/dx):
y = 1/4x^2 - 1/2 ln(x)
dy/dx = (1/4 * 2x) - (1/2 * 1/x) = x/2 - 1/(2x)
Now, let's plug this into the Surface of Revolution formula:
Surface Area = 2 * pi * ∫[x * sqrt(1 + (x/2 - 1/(2x))^2)] dx from 3 to 5
We will now integrate the expression within the brackets with respect to x from 3 to 5. This might be challenging to solve analytically, so we may need to use a numerical integration method or a calculator to find the exact value.
Once the integration is completed, you will obtain the surface area of the curve when rotated about the y-axis.
Learn more about Surface of Revolution from : brainly.com/question/30561148
#SPJ11
If you calculate sle to be $25,000 and that there will be one occurrence every four years (aro), then what is the ale?
If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.
What is Single-loss expectancy (SLE)?A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.
Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.
IT professionals must consider a wide range of risks, including the following:
Errors caused by humansCyber attacks, unauthorised data disclosure, or data misuse are examples of hostile action.Errors in applicationSystem or network failuresPhysical harm caused by fire, natural disasters, or vandalism.To know more about the Single-loss expectancy (SLE), here
https://brainly.com/question/14587600
#SPJ4
In a group of 120 people, 90 play volleyball, 72 play football and 1o play neither of games. Find the number of people who play volleyball as well as football. Construct Venn-diagram to represent the given information.
Answer:
Step-by-step explanation:
10 people don’t play volleyball 120-10=110 110 play one or both games 90+72 =162 which is > 110 by 52
There are 52 people who play volleyball as well as football.
The Inclusion Exclusion PrincipleLet A, B be two different sets the,
n (A ∪ B) = n (A) + n (B) − n (A ∩ B) .
What is Venn diagram?
"A Venn diagram is a diagram that uses overlapping shapes to illustrate the logical relationships between two or more sets."
For given situation:
Let set A: People playing volleyball
set B: People playing football
⇒ n(A) = 90
⇒ n(B) = 72
Given group is of 120 people.
10 people play neither of games.
This means, only 110 people play football or volleyball or both.
⇒ n(A ∪ B) = 110
Using the Inclusion Exclusion Principle,
n (A ∪ B) = n (A) + n (B) − n (A ∩ B)
⇒ 110 = 90 + 72 - n (A ∩ B)
⇒ n(A ∩ B) = 52
Therefore, 52 people play volleyball as well as football.
Venn-diagram for given information is as shown below.
Learn more about Venn diagram here:
https://brainly.com/question/14344003
#SPJ2