The Giant Angle ChallengeAny tips? Im struggling a lot.

The goal is to find each measure.

Answers

Answer 1

Answer:

Tips:

Go one by one starting from the given info.

Let me give u a starting point.

angles 31, 44 are 108 degrees. and angle 37 is 120 degrees.

For example, since BQP is an eq. triangle, angles 3, 4, and 11 are 60 degrees. SO are angles 10 and 9. This means that angle 5 is 60 degrees

Keep on doing this and you will figure out the rest of the angles

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Equation4(5x–9)=−2(x+7) # x = 1 Explanation Write the equation. Add 2x to each side. 30 :: Multiply on each side. :: 22x = 22 :: 22x-36= -14 Add 36 to each side. Reason Given Distributive Property Addition Property of Equality Addition Property of Equality Division Property of Equality :: 20x - 36 = -2x - 14 :: Divide each side by 22.
Evaluate the expressions when a = 10, b = -2, and c = -5: (a) a * b (b) 10 * b² (c) -a * b² + (-c) (d) (a * c + a) / b

PLEASE HELPPP!You’re buying hand lotion. The lotion comes in rectangular pyramid-shaped bottles. Bottle A has a base of 1 in x 2 in, and a height of 6 in. Bottle B is a wider bottle with a base of 1.5 in x 3 in, and a height of 4 inches. Which bottle has more lotion?

Answers

Answer:

Bottle B has a larger volume of lotion therefore the correct answer

Step-by-step explanation:

1×2×6=12/3=4 Bottle A

1.5×3×4=18/3=6 Bottle B

Answer:

Bottle B contains 6 in3 of lotion, and Bottle A contains 4 in3. Bottle B contains more.

Step-by-step explanation:

If your class wins the contest, then the class will receive a pizza party. Brooke’s class won the contest. What conclusion can you make from the statements above? Which law did you use to come up with your conclusion?

A.
Brooke’s class will have fun eating pizza.
law of syllogism
B.
Brooke’s class will have wings with their pizza.
law of detachment
C.
Brooke’s class will have a pizza party.
law of syllogism
D.
Brooke’s class will have a pizza party.
law of detachment

Answers

Answer:

The correct answer is D. Brooke’s class will have a pizza party by the law of detachment.

Step-by-step explanation:

By definition, the lay of detachment establishes if these two statements are true:

If p, then q.

Then:

q is true.

In this case:

If your class wins the contest, then the class will receive a pizza party.

P: If your class wins the contest.

Q: The class will receive a pizza party.

Using P for Brooke's class:

P: If Brooke’s class wins the contest.

Q: Brooke’s class will have a pizza party.

the answer to your question is D

Given the function f(x)=0.5(3)^x, what is the value of f^-1(7)?

Answers

$f\left( x \right) =\frac { 1 }{ 2 } \cdot { 3 }^( x )\n \n \frac { 1 }{ 2 } \cdot { 3 }^( x )=y$

$\n \n 2\cdot \frac { 1 }{ 2 } \cdot { 3 }^( x )=2\cdot y\n \n { 3 }^( x )=2y\n \n \log _( 3 ){ \left( 2y \right) } =x$

$\n \n \therefore \quad { f }^( -1 )\left( x \right) =\log _( 3 ){ \left( 2x \right) }$

$\n \n \therefore \quad { f }^( -1 )\left( 7 \right) =\log _( 3 ){ \left( 2\cdot 7 \right) } =\log _( 3 ){ 14 }$

If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?

Answers

the value of 'n' would be 30

1) The points (-2,5) and (2,3) lie on the same line. Write the equation of the line in slope-intercept form. Type your answer in as y=mx+b. 2) The slope of a line is -12, and the line passes througin the point (0,8). Write the equation for the line in slope intercept form. Type your answer in as y=mx+b.

Answers

Answer:

1) The equation of the line is y = $(-1)/(2)$ x + 4

2) The equation of the line is y = -12x + 8

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope of the line, m = Δy/Δx (chang of y/change of x)

b is the y-intercept (value y at x = 0)

Let us solve the two questions

∵ points (-2, 5) and (2, 3) lie on the same line

→ Find the slope m

∵ Δ x = 2 - (-2) = 2 + 2 = 4

∵ Δ y = 3 - 5 = -2

∴ m = $(-2)/(4)=(-1)/(2)$

∴ The slope of the line is $(-1)/(2)$

→ Substitute the value of m in the form of the equation above

∴ y = $(-1)/(2)$ x + b

→ To find b substitute the x and y in the equation by the coordinates

of a point on the line

∵ Point (-2, 5) lies on the line

∴ x = -2 and y = 5

∵ 5 = $(-1)/(2)$ (-2) + b

∴ 5 = 1 + b

- Subtract 1 from both sides

∴ 5 - 1 = 1 - 1 + b

∴ 4 = b

→ Sustitute it in the equation

∴ y = $(-1)/(2)$ x + 4

The equation of the line is y = $(-1)/(2)$ x + 4

∵ The slope of the line is -12

∴ m = -12

∵ The line passes through point (0, 8)

∵ b is the value of y at x = 0

∴ b = 8

→ Substitute the values of m and b in the form of the equation above

∴ y = -12x + 8

The equation of the line is y = -12x + 8

Final answer:

The equations of the lines are y=-0.5x+4 and y=-12x+8 respectively. For the first line, the slope is computed using provided points and the y-intercept is calculated using one of the points and the slope. For the second line, we use provided slope and point to write the equation.

Explanation:

Firstly, let's deal with the first part of the question. To write the equation of the line, we first need to calculate the slope. The slope (m) is calculated as (y2-y1)/(x2-x1). Using the points (-2,5) and (2,3) we find m=(3-5)/(2-(-2))= -2/4 = -0.5. The y-intercept (b) is the y value when x = 0. To find b, let's use the point (-2,5) and the slope in the equation y=mx+b. We get 5=(-0.5)*-2+b, hence b= 5-1= 4. So line equation is y=-0.5x+4.

For the second part of the question, we know that the slope (-12) and it passes through the point (0,8). So the y-intercept is 8 when x=0. Therefore, the equation of this line is y=-12x+8.