MATHEMATICS HIGH SCHOOL

Evaluate m–n when m = –1.5 and n = –7.7.a. –9.2
b. –6.2
c. 6.2
d. 9.2 Help pls

Answers

Answer 1
Answer: -1.5 -(-7.7)=-1.5 +7.7=\boxed{6.2}

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Steve has 120 feet of fence to make a rectangular kennel for his dogs. He will use his house as one side. Write an algebraic expression for the kennel's length.

Circle R has a radius of 6, and QP is tangent to circle R at point Q. Also, QP = 8. (a) What is the measure of ∠RQP ? Explain your answer. (b) What is the length of RP ? Explain your answer. (c) What is the length of RS ? Explain your answer. (d) What is the length of SP ? Explain your answer.

Answers

RQ = 6; RS = 6 ; these are radius

The triangle formed is right triangle. ∠RQP = 90°

QP = 8 ; this is the long leg.
RQ = 6; this is the short leg
RP = ? is the hypotenuse

a² + b² = c²
8² + 6² = c²
64 + 36 = c²
100 = c²
10 = c

The hypotenuse is 10, but RS is part of the hypotenuse, it has a measure of 6.

6 + x = 10
x = 10 - 6
x = 4   length of SP

How do I find the slope​

Answers

Answer:

You need to plot the points on their corresponding places.

Step-by-step explanation:

Answer:

plot the numbers

Step-by-step explanation:

Quadrilateral ABCD has vertices A(6,-3), B(8,-1), C(3,-1), and D(1,-3). Quadrilateral WXYZ has vertices W(1,6), X(2,7), Y(-1,7), and Z(-2,6). Which is true regarding the two shapes?

Answers

From the vertices of these two quadrilateral, you can get they are both parallelogram and they have the same angels. You can judge the choices according to the information you get from the vertices, from length and angel.

Answer:

Answer is option D

Step-by-step explanation:

Edge 2022

Justin is 2 years older than one third marcella's age

Answers

x=63 which is Marcella's age

(1)/(3) of 63 is 21 ⇔ 63÷3=21

2+21=23 which is Justins age

2(23)-4=42

Marcella's age⇒63

Justin's age⇒23

Aimee's age⇒42

Note: I was trying to find a better way to do this but I couldn't figure it out in the top of my head so I'm sorry for the long response

If Marcella is 63, divide by 3 is 21, add 2 equals out to be 23 which is Justin's age. Then 23 multiplied by 2 is 46, subtract 4 from 46, which equals out be 42 and that is Aimee's age.:)

Marcella= 63
Justin= 23
Aimee= 42

A grid shows the position of a subway stop at your house. The subway stop is located at (-5, 2) and your house is located (-9,9). What is the distance, to the nearest unit, between your house and the subway stop?

Answers

A(-5;\ 2);\ B(-9;\ 9)\n\n|AB|=√((-9-(-5))^2+(9-2)^2)=√((-4)^2+7^2)=√(16+49)\n\n=√(65)\approx8\ (units)

An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the plane is 663 m above the water, how many kilometers is it from a point 663 m directly above the atoll?(Hint: Make sure your calculator is in degrees!)A. 5399.7 km
B. 5.4 km
C. 81.41 km
D. 760.8 km

Answers

You need to draw the diagram to understand the problem easily. Teh diagram will show the right triangle, acute angle with the base  7º, height is 663 m, and "x" is the base of the triangle. 

using the tangent ratio: 

tanΘ = opposite / adjacent

tan7º = 663 m / x 

x = 663 m / tan7º
x = 5,399.7 m 

change m to km. 1,000 m = 1km

5,399.7m * 1km/1,000 m = 5,399.7 km/1000 = 5.3997 km or 5.4 km

B. 5.4 km 
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Pls help me i’m so stuck