Answers
Answer:
A. 3
Step-by-step explanation:
since the missing angle adds up to 90° when added to 66°, first you would subtract 66 from 90
[tex]90-66=24[/tex]
set that number equal to [tex]8x[/tex] and solve for [tex]x[/tex]
[tex]8x=24[/tex]
[tex]x=3[/tex]
Related Questions
Consider this system of equations. Which equation represents the first equation written in slope-intercept form?
5 x minus 2 y = 10. y = one-fourth x + 1.
y = five-halves x minus 5
y = five-halves x + 10
y = negative five-halves x + 10
y = negative 5 x minus 5
Answers
Answer:
y= 5/2x - 5
Step-by-step explanation:
5x - 2y = 10
-5x -5x (Subtract both sides by 5x to leave y by itself)
-2y = -5x + 10
-2y/-2 = -5/-2 + 10/-2
(Divide both sides by -2 to leave y with no coefficient. -5/-2 = 5/2 because there are two negatives. 10/-2 = -5.
y = 5/2 - 5
Answer:
A
Step-by-step explanation: i think tell me if im wrong
What single transformation was applied to quadrilateral A to get to quadrilateral B
a.)translation
b.)rotation
c.) reflection
d.) Dilation
Answers
Answer:
B. a rotation
Step-by-step explanation:
The shape appears to have the same size, but it has been moved in a way that is not reflection. Through the process of elimination, the answer is rotation.
Answer:
D.) dilation
Step-by-step explanation:
Multiply. Express your answer in simplest form. 1 7/8 x 2 1/3
Answers
Convert to improper fractions first:
15/8 x 7/3
Cross- cancel common factor (3):
5/8 x7/1
Multiply fractions:
5x7 / 8x1
Solve:
35/8
Simplify:
4 3/8
Answer:
4 3/8
Step-by-step explanation:
8 × 1 + 7 = 15/8
3 × 2 + 1 = 7/3
Now, we'll multiply both numerator and denominators.
(numerators) 15 × 7 = 105
(denominators) 8 × 3 = 24
= 105/24
Now, we'll find the simplest form of 105/24
= 4 3/8
Two angles of a quadrilateral measure 100° and 90°. The other two angles are in a ratio of 3:14. What are the measures of those two angles?
quadrilaterals.
Answers
Answer: 3=30 14=140
Step-by-step explanation:
100+90=190 360-190=170
3+14=17 170 divided by 17=10
3x10=30 14x10=140
Answer: They other measures of the quadrilateral are 30° and 140°.
Step-by-step explanation:
360 - 190 = 170 then 3/17 x 170 gives 30 then 14/17 x 170 gives 140.
Triangles A B C and T P Q are shown. Sides A C and T Q are congruent. Angles B C A and P Q T are congruent. Which statements are true about additional information for proving that the triangles are congruent? Select two options. If AngleA ≅ AngleT, then the triangles would be congruent by ASA. If AngleB ≅ AngleP, then the triangles would be congruent by AAS. If all the angles are acute, then the triangles would be congruent. If AngleC and AngleQ are right angles, then triangles would be congruent. If BC ≅ PQ, then the triangles would be congruent by ASA.
Answers
Answer:
If Angle A ≅ Angle T, then the triangles would be congruent by ASA
If Angle B ≅ Angle P, then the triangles would be congruent by AAS.
Step-by-step explanation:
It's already given that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So if angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.
Since you only need to pick 2 answer choices, you can stop there.
If Angle A ≅ Angle T, then the triangles would be congruent by ASA
If Angle B ≅ Angle P, then the triangles would be congruent by AAS.
Congruent triangles:Since
Sides A C and T Q are congruent. Angles B C A and P Q T are congruent.
So here we can say that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So in the case when angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.
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If both coordinates of a point are positive, in which quadrant is that point located?
A) I
B) II
C) III
D) IV
Answers
Answer:
A
Step-by-step explanation:
Both points are positive in the 1st quadrant.
Answer:
A. l
Step-by-step explanation:
Both coordinates are in quadrant 1 because both x and y in quadrant 1 must be positive.
13. Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, P, o) for the indicated
parameter.
A psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness. Use P, the true percentage
of the population that suffers from extreme shyness.
OHo:p> 4.1%
Hips 4.1%
OHo: P = 4.1%
H:p> 4.1%
OHo: p < 4.1%
Hip 24.1%
OHo: P = 4.1%
Hip < 4.1%
Answers
Answer:
Null Hypothesis, [tex]H_0[/tex] : P = 4.1%
Alternate Hypothesis, [tex]H_A[/tex] : P > 4.1%
Step-by-step explanation:
We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.
Let p = true percentage of the population that suffers from extreme shyness.
So, Null Hypothesis, [tex]H_0[/tex] : P = 4.1%
Alternate Hypothesis, [tex]H_A[/tex] : P > 4.1%
Here, null hypothesis states that % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.
On the other hand, alternate hypothesis states that more than 4.1% of the population suffers from professional problems due to extreme shyness.
So, the above hypothesis would be appropriate for conducting the test.
Which expression is equivalent to 36+12m?
Answers
Answer:
The second one
Step-by-step explanation:
Answer:
12(3+m)
Step-by-step explanation:
36 + 12m
Factor out 12
12*3 + 12*m
12(3+m)
How does the value of log 100 compare with the value of log 20?
The value of log 100 is about 4 times the value of loge 20
The value of log2100 is about 7 times the value of loge 20
The value of log2100 is about 3 times the value of log 20
O
The value of log2100 is about 3 times the value of loge 20
Answers
Answer:
option A
Step-by-step explanation:
log_2(100)
we can simplify it
we can use base change formula
log_2 (100)=\frac{ln\left(100\right)}{ln\left(2\right)}
log_2 (100)=6.643856
Second value is :
log_6(20)
we can simplify it
we can use base change formula
log_6(20)=\frac{ln\left(20\right)}{ln\left(6\right)}
log_6(20)=1.67195
so, we know that
6.6438 is almost 4 times of 1.67195
The value of log₂ (100) is about 4 times the value of log₆(20). The correct answer would be an option (A).
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
According to the problem, we will use some of the basic logarithmic properties,
The logarithms expression is given, as follows:
log₂(100)
It can use the base change formula,
log₂ (100) = ln (100) / ln (2)
log₂ (100) = 6.643856
The second value is :
log₆(20)
It can use the base change formula
log₆(20) = ln (20) / ln (6)
log₆(20) = 1.67195
Since 6.6438 is almost 4 times 1.67195
Hence, the correct answer would be option (A).
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What is 220kg increased by 12.5%
Answers
Answer:
247.5
Step-by-step explanation:
220 + (12.5% × 220)
220 + 12.5% × 220
(1 + 12.5%) × 220
(100% + 12.5%) × 220
112.5% × 220
112.5 ÷ 100 × 220
112.5 × 220 ÷ 100
24,750 ÷ 100 = 247.5
Which is the most efficient way to solve this equation?
x−57=135
A. Do nothing because the equation is already solved.
B. Subtract 135 from both sides of the equation so all terms will be on the same side of the equal sign.
C. Subtract 57 from 135 because x equals 78.
D. Add 57 to both sides of the equation because addition is the inverse operation of subtraction.
Answers
Answer: The Answer is D.
Step-by-step explanation: You are trying to get x by itself, and in order to do that, you need to get the 57 away from it. In order to do THAT, you need to do the opposite of what s already being done. Since your already subtracting it, in order to get it away from x, you need to add it to itself, and then add it to the other side, because what you do to one side, you do to one side, you must do to the other.
Find the slant height of the pyramid shown.
Answers
Answer:
B is the correct answer ( square root of ten)
Step-by-step explanation:
I just did it and got it right
The slant-height of the pyramid having perpendicular height as 3 units, base as 1 unit is : (b) √10.
A Pyramid is a three-dimensional geometric shape with a polygonal base and triangular faces that meet at a single point called the apex. The base can be any polygon, and the number of sides of the base determines the type of pyramid (e.g., a square base yields a square pyramid)
The "Slant-Height" of the given pyramid can be calculated by using Pythagoras-Theorem, which states that; (slant-height)² = (perpendicular)² + (base)²;
Substituting Perpendicular height as 3 units, base as 1 unit, and slant-height as "x";
We get,
⇒ 3² + 1² = x²,
⇒ x² = 9 + 1,
⇒ x² = 10,
⇒ x = √10,
Therefore, the slant-height is √10, option (b) is correct.
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The number of hours of TV watched each week by 8 seventh grade students is shown below.
11, 7, 9, 3, 3, 8, 10, 5
a. What is the mean number of hours of TV watching?
b. Mean absolute deviation =
c. Explain the meaning of the mean absolute deviation as it relates to the number of hours of TV watched.
Answers
Answer:
(a)Mean=7 Hours
(b)Mean Absolute Deviation=2.5 Hours
Step-by-step explanation:
Given the number of hours of TV watched each week by 8 seventh grade students shown below.
11, 7, 9, 3, 3, 8, 10, 5
(a)Mean
[tex]Mean=\dfrac{\text{Addition of all the terms}}{\text{Number of Terms}} \\=\dfrac{11+7+9+3+3+8+10+5}{8} \\=\dfrac{56}{8} \\$Mean Number of Hours=7[/tex]
(b)Mean absolute deviation
[tex]M.A.D=\dfrac{|11-7|+|7-7|+|9-7|+|3-7|+|3-7|+|8-7|+|10-7|+|5-7|}{8} \\=\dfrac{4+0+2+4+4+1+3+2}{8} \\=\dfrac{20}{8}\\$Mean Absolute Deviation=2.5 Hours[/tex](c)The Mean Absolute Deviation tells us how far, on average, all values are from the mean. The Mean absolute deviation of 2.5 Hours tells us that each hour is on the average far from the mean number of hours by 2.5 Hours.
A circle with area 9π has a sector with a central angle of 17π/9 radians. What is the area of the sector?
Answers
Answer:
8.5pi
Step-by-step explanation:
We can solve this problem with a rule of three.
The area of the whole circle is represented by a sector with central angle of 2*pi. So, if we want to find the area of a sector that has a central angle of 17pi/9, we can use the following logic:
sector of 2pi -> area equal to 9pi
sector of 17pi/9 -> area equal to X
2pi / (17pi/9) = 9pi / X
18 / 17 = 9pi / X
X = 17 * 9pi / 18 = 17pi / 2 = 8.5pi
Solve using substitution. x + 2y = 4 and –4x − 7y = –9
Answers
Step-by-step explanation:
Given
x + 2y = 4
x = 4 - 2y.......... equation 1
-4x -7y = - 9.......equation 2
Putting equation 1 in equation 2
- 4 ( 4 - 2y) - 7y = - 9
-16 + 8y - 7y = -9
y = - 9 + 16
y = 7
Now
x = 4 - 2* 7 = 8 - 7 = 1
hope this helps.
Answer:
X=-10 y=7
Step-by-step explanation:
1) in first equation subtract 2y on both sides
X=4-2y
Substitute as "x" in the second equation:
-4(4-2y)-7y=-9
-16+8y-7y=-9
-16+y=-9
Y=7
Substitute y as 7 to get x)
X=4-2(7)
X=4-14
X=-10
Hope this helps
x² - x - 6
x - 3
Perform the division
Answers
Answer:
x+2 is answer by division
What is the value of x?
Answers
Answer:
x=15
Step-by-step explanation:
Definition of Isosceles triangle --- two side lengths are always equal!
Answer: 15
Step-by-step explanation: By looking at the shape, you can tell it's the exact same size.
Would anyone please be able to help me??
Answers
Answer:
a. = 111 inches squared b.= 506 inches squared c.=143 inches squared
Step-by-step explanation:
a.
To find the area I broke the shape into two parts one where you multiply 7 and 9 to get the area and one where you multiply 12 and 4 to get the area. The first area is 63 and the second is 48 and together the entire area is 111 inches squared
b.
To find the area here you do the same thing as a. you break the shape into two parts a part where you multiply 29 and 14 and a part where you multiply 20 and 5. In all you get 506 inches squared.
c.
I this problem you find the area of the triangle and the rectangle.The formula of the triangle is b times h times 1/2 in this case. 6 times 13 times 1/2 which is 39. the area of the rectangle is 8 times 13 = 104. So the total area is 143
Sorry i took so long I had to do something
How do I explain to a kid what volume mean?
Answers
Answer:
You could explain it with a box. Fill a box to the brim with objects. Tell him/her that volume is the stuff inside the box. Even if there are no objects in the box, there is still air. That is volume.
Answer:
It is a sound that can be adjusted
Step-by-step explanation:
Volume is something that is on all handheld or console like elctronics.
It can change the sound from loud to quiet.
You are given a random 4-digit PIN for your bank card. How many 4 digit PINs are
possible if the numbers can be repeated?
Answers
Answer:
There are 10,000 possible combinations that the digits 0-9 can be arranged to form a 4-digit pin code
Step-by-step explanation:
Answer:
10k
Step-by-step explanation:
An angle measures 30 degrees.
What is the measure of its complement (i.e., the complementary angle)?
Answers
To find the measure of an angles compliment, simply subtract the degree you are given from 90.
90 degrees - 30 degrees = 60 degrees.
Hope this helps! :)
The measure of the complimentary angle is 60 degrees.
Complimentary angle:The complimentary angle is the angle where the sum of angles should be 90 degrees
Since An angle measures 30 degrees.
So, the measure of an angle should be
= Sum of angles - one measurement of angle
= 90 - 30
= 60 degrees
Therefore we can conclude that The measure of the complimentary angle is 60 degrees.
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Solve the equation for x - 17 = 29
Answers
Answer:
X= 46
Step by Step explanation:
Move all terms not containing x to the right side of the equation.
The pyramids have always fascinated Kristina, so she wants to build two model pyramids to put on her mantel. She wants her model of Khufu’s pyramid to have a volume of 73.5 cubic inches and a height of 4.5 inches. What would the side length of the base of the pyramid be? Is this number rational or irrational? Why?
Answers
Answer:
Side length = 7 inches
This number is a rational number, because it is a whole number and it can be represented as a fraction (7 = 14/2 for example)
Step-by-step explanation:
The volume of the pyramid can be calculated as:
V = (1/3)*A*h
Where V is the volume, A is the area of the base and h is the height.
If the volume is 73.5 in3 and the height is 4.5 in, we can find the area of the base:
73.5 = (1/3)*A*4.5
A = 73.5*3/4.5 = 49 in2
As the pyramid have a square base, we can calculate the side length of the base:
A = L*L (L = length)
49 = L^2
L = 7 inches
This number is a rational number, because it is a whole number and it can be represented as a fraction (7 = 14/2 for example)
Answer:
7 rational a rational number is a whole number
Step-by-step explanation:
In the graph below, find the coordinate of the image point. O is the origin and P is the point (4,3). Ry and Ry are
reflections around the x- and y-axes.
R p,90 • R o, -90 : (-1,1) ->
A.) (-7, 9)
B.) (-1, -1)
C.) (6, -2)
(See image for graph)
Answers
The coordinate of the point is (-1,-1).
The answer is option B) (-1, -1).
How do you find a coordinate on a graph?To identify the x-coordinate of a point on a graph, read the number on the x-axis directly above or below the point. To identify the y-coordinate of a point, read the number on the y-axis directly to the left or right of the point. Remember, to write the ordered pair using the correct order (x,y).
What is graph coordination?An ordered pair (x, y) represents a position of a point on a coordinate graph, where x is the number on the x-axis that the point lines up with and y is the number on the y-axis that the point lines up with. The numbers x and y in the ordered pair (x, y) are called coordinates.
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One of the solutions to x^2– 2x – 15 = 0 is x = -3. What is the other solution?
Answers
Answer:x=5
Step-by-step explanation: x^2−2x−15=0
(x−5)=0 x−5=0 x=5
Answer:
You have to factor the equation and the way you do this is to find two numbers that multiply to get -15 and add to get -2 and those numbers are 3 and -5 so the factors are (x+3) and (x-5)
You set them equal to 0 and solve for x
x+3=0 x=-3
x-5=0 x=5
SO THERE YOU HAVE IT: x=5!
Have a nice day!!!
-dsk-
Step-by-step explanation:
HELP! let f(x) = 7x - 4. what is f(6)
Answers
Answer:
the answer was 38 sorry
Step-by-step explanation:
Answer:
F(6) = 38
Step-by-step explanation:
F(x) = 7x - 4
Plug in 6 where x is
F(6) = 7(6) - 4
Multiply
F(6)= 42 -4
Subtract
F(6) = 38
Which addition does the model below represent?
A. 3+(-1)
B. 3+4
C. 3+ (-4)
D. 3+1
Answers
Answer:
C. 3+ (-4)
Step-by-step explanation:
First we have three but then we go back 4 spaces which results in -1
The simplified answer of C. would be 3-4= -1
Answer:
C.
Step-by-step explanation:
Find the value of x. Give the answer in simplest radical form.
Answers
Answer:
X = 8√2.
Step-by-step explanation:
In a 45-45-90 triangle the ratio of the sides are x:x:√2 x.
So here, x = 8 and the side X = 8√2.
A similar scale model of the motorcycle shown stands 3 inches high and is 6 inches long. How high does the actual motorcycle stand?
Answers
Answer:
48 in.
Step-by-step explanation:
Scales are based on proportions. The proportion in this scenario is:
96/6 = x/3
Cross multiply. You are left with the equation:
96x3 = 6x
Simplify.
288 = 6x
288/6 = x
48 = x
Hope this helps :)
A model's scale ratio is the proportionate ratio of dimensions. The actual motorcycle stands at a height of 48 inches.
What is the scale ratio?A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.
The length of the motorcycle is 96 inches, while the length of the scale model of the motorcycle is 6 inches. Therefore, the scale ratio can be written as,
[tex]\rm Scale\ Ratio = \dfrac{\text{The actual length of the motorcycle}}{\text{The model length of the motorcycle}}\\\\Scale\ Ratio = \dfrac{96}{6} = 16[/tex]
Using the same ratio the height of the motorcycle can be written as,
[tex]\rm Scale\ Ratio = \dfrac{\text{Actual height of the motorcycle}}{\text{Model height of the motorcycle}}\\\\\\16=\dfrac{\text{Actual height of the motorcycle}}{3}\\\\\\{\text{Actual height of the motorcycle}} = 16 \times 3 = 48\ inches[/tex]
Hence, the actual motorcycle stands at a height of 48 inches.
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Finding the area in this composite figure
Answers
To solve for the area of a composite figure, break it down into simpler shapes and calculate their areas, ensuring all measurements are in the same units and converting if necessary, then add the areas together and express the answer to the correct number of significant figures.
Explanation:The question is about finding the area of a composite figure, which is often a problem in high school mathematics. When calculating the area of a composite figure, we can break it down into simpler shapes such as rectangles and triangles. The area of a rectangle is found by multiplying its height by its width, while the area of a triangle is half the product of its base and height. We can then add these areas together to get the total area of the composite figure. It's important to ensure that all measurements are in the same units before performing the calculation. If necessary, we use conversion factors to change to the appropriate units and report the final answer to the correct number of significant figures.
For example, if we are given a rectangle with dimensions provided in meters and centimeters, we convert all measurements to the same unit, usually the meter, before calculating the area. To maintain accuracy, we use the fact that the number 1 and 100 in the conversion factors (such as 1m = 100 cm) are exact numbers and do not impact the significant figures of our final answer.