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Assuming that the line segments CE and FH are parallel, then:Angle W
Here we have Opposite Angles by Vertex, so
W = 14
According to the attached figure, the angle W is also corresponding, so in the triangle CEG one of the angles will be 14°
Angle Z
The sum of the interior angles of a triangle is 180°, so for triangle CEG:
Z + W + 78 = 180
Z + 14 + 78 = 180
Z = 88
Angle X
Z and 4X are complementary angles, then
Z + 4X = 180
88 + 4X = 180
X = 23
___________________________________
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North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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Which two values are irrational?
370
A
9
B 2.910
CV52
D 150
33
E
4
i really need help on my question
Answer:
D
Step-by-step explanation:
-1.25 is less than -1.02 and 1.4.
> -1.25 + 1.02 = -0.23
1.4 is a greater amount because it is a positive number
So, if you put it this way, -1.25 is lesser, -1.02 is the 2nd least, & 1.4 is the greatest.
Which means your overall answer should be -1.25 < -1.02 < 1.4
Quadrilateral DONE has vertices (-2, -4), (7, -4), (-2, 5), and (7, 5), respectively. a) Sketch a graph of the quadrilateral. b) Classify the quadrilateral as a square, rectangle or rhombus. c) Determine the intersection point of the diagonals
due to unavailability of graph I sketched a rough diagram so hope this ans. helps you dear....take care!
using d=rt , where d=distance r=rate and t=time how fast is a jogger moving if she travels 5.7 miles in 1.3 hours? to the nearest tenth
Answer:
\(r=4.38\)
Step-by-step explanation:
Step 1: Arrange the equation so that you are calculating rate (divide both sides by t)
\(\frac{d}{t} = \frac{rt}{t}\)
\(t\) cancels out on the right side.
Step 2: Substitute in the numerals
\(r=\frac{d}{t}\)
\(r=\frac{5.7}{1.3}\)
Step 3: Divide
\(r=4.38\) \(mph\)
There's your answer!
Hope this helps you!
*The rectangle has a perimeter of 38 meters.
*The length of the rectangle is 5 meters more
than the width.
What is the length and the width of the
rectangle?
Perimeter:
Length:
Answer:
Width of the rectangle = 7 meters
Length of the rectangle = 12 meters
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Perimeter of the rectangle = 38 meters
Width of the rectangle = w
Length of the rectangle = w + 5
Perimeter of a rectangle = 2(length + width)
38 = 2{(w + 5) + w}
38 = 2(w + 5 + w)
38 = 2(2w + 5)
38 = 4w + 10
38 - 10 = 4w
28 = 4w
w = 28/4
w = 7 meters
Width of the rectangle = w
= 7 meters
Length of the rectangle = w + 5
= 7 + 5
= 12 meters
6.58+7.64-10.006 adding and subtracting decimals
Answer:
4.214
Step-by-step explanation:
Original Equation:
6.58 + 7.64 - 10.006
Add 6.58 to 7.64
14.22
Subtract 10.006 from 14.22
4.214
Hope this helps :)
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what is the perimeter of an angle with a sides of 10cm, 15cm, 40cm and 5cm
Answer:
10 + 15 + 40 + 5 = 70cm
Step-by-step explanation:
Rebecca Whitaker purchased a new stereo for $767. She made a 20 percent down payment and financed the remainder. What amount did she finance?a. $617.50b. $665.00c. $767.00d. $613.60
The amount of the stereo is $767.
A down payment of 20% was made,that means;
\(\begin{gathered} \text{Deposit}=767\times\frac{20}{100} \\ \text{Deposit}=767\times0.2 \\ \text{Deposit}=153.40 \end{gathered}\)The amount she financed therefore is the difference between the total cost and her down payment.
Finance amount = 767 - 153.40
Finance amount = $613.60
The correct answer is option D
Select all the conditions for which it is possible to construct a triangle. (7.G.1.2) Group of answer choices a. A triangle with angle measures 60°, 80°, and 80° b. A triangle with side lengths 4 cm, 5 cm, and 6 cm c. A triangle with side lengths 4 cm, 5 cm, and 15 cm d. A triangle with side lengths 4 cm, 5 cm, and a 50° angle across from the 4 cm side e. A triangle with angle measures 30° and 60°, and an included 3 cm side length f. A triangle with angle measures 60°, 20°, and 100°
Answer:
b, d, e, f
Step-by-step explanation:
Here are the applicable restrictions:
The sum of angles in a triangle is 180°, no more, no less. The sum of the lengths of the two shortest sides exceeds the longest side.When two sides and the angle opposite the shortest is given, the sine of the given angle must be at most the ratio of the shortest to longest sides.a. A triangle with angle measures 60°, 80°, and 80° (angle sum ≠ 180°, not OK)
b. A triangle with side lengths 4 cm, 5 cm, and 6 cm (4+5 > 6, OK)
c. A triangle with side lengths 4 cm, 5 cm, and 15 cm (4+5 < 15, not OK)
d. A triangle with side lengths 4 cm, 5 cm, and a 50° angle across from the 4 cm side (sin(50°) ≈ 0.766 < 4/5, OK)
e. A triangle with angle measures 30° and 60°, and an included 3 cm side length (OK)
f. A triangle with angle measures 60°, 20°, and 100° (angle sum = 180°, OK)
_____
Additional comment
In choice "e", two angles and the side between them are specified. As long as the sum of the two angles is less than 180°, a triangle can be formed. The length of the side is immaterial with respect to whether a triangle can be made.
__
The congruence postulates for triangles are ...
SSS, SAS, ASA, AAS, and HL
These essentially tell you the side and angle specifications necessary to define a singular triangle. As we discussed above, the triangle inequality puts limits on the side lengths specified in SSS. The angle sum theorem puts limits on the angles when only two are specified (ASA, AAS).
In terms of sides and angles, the HL postulate is equivalent to an SSA theorem, where the angle is 90°. In that case, the angle is opposite the longest side (H). In general, SSA will specify a singular triangle when the angle is opposite the longest specified side, regardless of that angle's measure. However, when the angle is opposite the shortest specified side, the above-described ratio restriction holds. If the sine of the angle is less than the ratio of sides, then two possible triangles are specified.
What number equals 100 when it’s squared ?
Hi there!
Remember, squared means multiplied by itself.
So, what number multiplied times itself gives us 100?
The answer is: 10.
10 times 10 (10 squared) equals 10.
Hope it helps.
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Help I will give Brainily to the one that give me the explanation and answer
Answer:
Step-by-step explanation:
It is a vertical parabola. The equation of a vertical parabola can be written in the form y = a(x-h)² + k, where a>0 and (h,k) is the vertex.
You can eliminate G and I because the leading coefficient is negative.
The graph isn't marked with units, but both F and H say that the vertex is at (0,-2), so you know that each square on the graph is one unit.
Now look for another clue.
The x-intercepts are at (-1,0) and (1,0). Plug one of the points into F and H.
F: 0 = 2·1² - 2
H: 0 ≠ 1² - 2
So, F represents the graph.
9(2n+1) help please brooooooo
Answer:
18n + 9
Step-by-step explanation:
Distribute 9 into the expression.
9*2n = 18n
9*1 = 9
18n + 9
A crop scientist is conducting research with a drought resistant corn hybrid. She is interested in determining if increasing the spacing between these plants will increase yield. She prepares 30 single acre plots and randomly assigns 15 to have normal spacing while the other 15 are planted with an expanded spacing. The resulting average yield for each group of 15 plots was recorded.
Select all that apply.
Select one or more:
a. The explanatory variable is whether the corn plants had normal spacing or expanded spacing.
b. The response variable is the yield of the crops.
c. The explanatory variable is the yield of the crops.
d. The response variable is whether the corn plants had normal spacing or expanded spacing.
e. This study is best described as an experiment.
f. This is best described as an observational study.
Answer:
A , B and E.
Step-by-step explanation:
the scientist can control and deal with the measure of manure that is given to a solitary corn plants. thus A is correct.
The reaction variable is the yield recorded for each plot due to the fact that the yield recorded in each plot is needed to check whether the compost is given or not. choice B is also correct
it's considered an experiment because the specialist is controlling the autonomous variable. then E is a right choice.
Select the correct answer.
Which function is the inverse of function fif the domain offis e > 01207
f(x) = 2? + 6/5) = 12 + 6
of-?(x) = V2 - 6, for > 65-1) = V1 - 6, for I 6
of-'(x) = v= + 6, for 3 > 07-11) = vo + 6, for 1 > 0
of-'() = v= + 6, for I > - 6-() = V + 6, for I > -6
of-(+) = VE - 6, for 3 > 0-() = VI - 6, for => 0
Answer:
addition and multiplication are the inverse of subtraction and division, respectively.
The inverse of a function can be viewed as reflecting the original function over the line y = x. In simple words, the inverse function is obtained by swapping the (x, y) of the original function to (y, x).
We use the symbol f − 1 to denote an inverse function. For example, if f (x) and g (x) are inverses of each other, then we can symbolically represent this statement as:
g(x) = f − 1(x) or f(x) = g−1(x)
One thing to note about the inverse function is that the inverse of a function is not the same as its reciprocal, i.e., f – 1 (x) ≠ 1/ f(x). This article will discuss how to find the inverse of a function.
Since not all functions have an inverse, it is therefore important to check whether a function has an inverse before embarking on determining its inverse.
Step-by-step explanation:
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Jen is planting a sunflower garden. She will need 1/2 pound of sunflower seeds. How many ounces of sunflower seeds will she buy?
Answer:
5 ounces
Step-by-step explanation:
Answer:
5 ounces .
Step-by-step explanation:
I need help asap please!!!
The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and
What is sine of angles?he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle. It is defined as the length of the opposite side divided by the length of the hypotenuse
The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360
2∅ 2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720
sin 2∅ = sin0 = 0; Sin90=1; sin180=0; sin240= -0.8660; sin270 = -1;
Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397
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Solve x/6=7. Select one: a. x=1/42 b. x = 42 c. x=13 d. 7/6
Answer:
The answer is b) x = 42
Which equation represents the line that passes through the
points (2,7) and (1, 4)?
Answer:
y=3x+1
Step-by-step explanation:
Use the slope formula and slope-intercept form y = m x + b to find the equation.
Answer:
(-4,3),(2,-12)
slope = (-12 - 3) / (2 - (-4) = -15/6
Step-by-step explanation:
y = mx + b
slope(m) = -15/6
use either of ur points...(-4,3)...x = -4 and y = 3
now we sub into the formula and find b, the y int
3 = -15/6(-4) + b
3 = 10 + b
3 - 10 = b
-7 = b
so ur equation is : y = -15/6x - 7....but we need it in standard form
y = -15/6x - 7...add 15/6 to both sides
15/6x + y = -7...multiply both sides by 6
15x + 6y = -42....which reduces to 5x + 2y = - 14 <===
A prism has total surface area of 360m^2 and volume of 60m^2. If the length, width and height are triple their original sizes what will be the new volume?(with steps)
A. 360m^3
B. 540m^3
C. 1,620m^3
D. 180m^3
Answer:
C. 1,620 m³
Step-by-step explanation:
always remember, for a volume we need to (one way or another) multiply measurements of 3 dimensions with each other.
so, if each of the 3 dimension measurements triples, then that factor 3 is used in the multiplication 3 times.
and the volume is multiplied by 3×3×3 = 27.
and 60 m³ × 27 = 1,620 m³
Use properties to simplify the algebraic expression of (4 + x) + 2
A. 4x + 2
B. 2 + (4 + x)
C. X+ 6
D. 6x
Answer:
A. 4x + 2
Step-by-step explanation:
it's simple you combine the number with the variable in this case x and you leave the 2 as it is so your result is 4x+2
f(x)=2x-6 Match each transformation of f(x) with its description
The transformation of the function is illustrated below
How to match the transformation?Parent function is: f(x) = 2x - 6
Transformations are:
shifts f(x) 4 units down
f(x) → f(x) - 4 ⇒ g(x)= 2x - 6 - 4 = 2x - 10
stretches f(x) by a factor of 4 away from the x-axis
f(x) → 4*f(x) ⇒ g(x) = 4(2x - 6) = 8x - 24
shifts f(x) 4 units right
f(x) → f(x - 4) ⇒ g(x) = 2(x - 4) - 6 = 2x - 14
compresses f(x) by a factor of toward the y-axis (must be 4)
f(x) → f(4x) ⇒ g(x) = 2*4x - 6 = 8x - 6
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A soda factory makes 9 flavors of soda. Each case of soda has 5 cans of each flavor. They produce enough soda to fill 7 cases per hour, 14 hours a day. How many cans of soda does the factory produce in 6 days?
26,460 cans of soda
Step-by-step explanation:
First times 9 and 5 together then times 7 with it then times 14 then times 6 and you should end up with 26,460
Which of the following systems of inequalities has point D as a solution?
Answer:
f(x) \(\leq\) 3x + 4
g(x) ≥ -1/2x - 5
Step-by-step explanation:
Point D is below f(x) and above g(x)
Helping in the name of Jesus.
What is the mean of the following data set?
{5, 9, 5, 2, 7, 10}
6.30
5.3
10.2
8.2
First CORRECT answer WILL get Brainliest. I’m on a limited time so if you don’t know, don’t answer. No guesses, not what you think, accurate and correct answers. I apologize if I am coming off as rude, but I honestly don’t have the time to delete questions. Thank you in advance!
Answer:
Square feet of Carpeting : 136 ft^2
Step-by-step explanation:
Let us divide this figure into two shapes, each being rectangles;
Considering the first, smaller shape, with a given dimension of 7 feet we can see that the second dimensions is 13 - 9, ⇒ 4 feet
The Area of this part would thus be ⇒ 7 * 4 = 28 ft^2
Now this second figure is provided with dimensions 12 by 9 feet, so that the area would, by definition ⇒ length * width = 12 * 9 ⇒ 108 ft^2. The total area of this figure is, by Partition Postulate : 108 + 28 ⇒ 136 square feet
If Sara plans to carpet the room, clearly the carpeting's area should be equivalent to that of the area of the room. This would mean;
Square feet of Carpeting : 136 ft^2
A boat travels with velocity vector (25, 25√3). What is the directional bearing of the boat?
ON 30° E
OE 30° S
OE 30° N
ON 30° W
In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.
How can the directional bearing of the boat be determined?The given velocity vector are; 25 and 25√3)
horizontal components =25
vertical components =25√3
Then the angle
Tan(θ) = {vertical component / horizontal component }
= 25√3 / 25
= √3 / 1
= √3
Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E
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PLEASE HELP ASAP
in a sample of people on the school board 2 out of 5 were in favor of a new high school being built. if 3,500 people vote in the new local election approximatelyhow how many would vote aginst the new high school being built?
Answer:
2,100 people
Step-by-step explanation:
~Divide to find the number of people in fifths
3,500 / 5 = 700
~Multiply to find 2/5 of the total people
700 * 2 = 1,400
~Subtract to find the number of people against building the school.
3,500 - 1,400 = 2,100
Best of Luck!
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads. Which sentence most closely summarizes the data?
About 80 necklaces have more than 28 beads. Then the correct option is C.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.
P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)
P(x > 28) = P(x - 24 / 4 > 1)
P(x > 28) = 1 - ∅1
P(x > 28) = 1 - 0.8413
P(x > 28) = 0.1587
Multiply both sides by 500, then we have
500 P(x > 28) = 0.1587 × 500
500 P(x > 28) = 79.35
500 P(x > 28) ≈ 80
About 80 necklaces have more than 28 beads. Then the correct option is C.
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The missing options are given below.
A. About 24 devices have more than 28 beads.
B. About 48 necklaces have more than 28 beads.
C. About 80 necklaces have more than 28 beads.
D. About 96 necklaces have more than 28 beads.
A baseball player reaches first base 30% of the times he is at bat. Out of 50
times at bat, about how many times will the player reach first base?
(write a proportion)
Answer:
15 timesStep-by-step explanation:
The proportion is:
k = 30% = 30/10 = 3/10Out of 50 times, the player will reach first base:
50*3/10 = 15 timesTotal times
30% of 5030/100(50)0.3(50)15timesProportion
k=30%=0.3