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3 years ago

What is the perimeter of triangle PQR? Show your work.

Mathematics

1 answer:

zubka84 [21]3 years ago

6 0

You know that the two triangles are congruent because two sides and one angle are congruent.

According to CPCTC, corresponding parts of congruent triangles are congruent, which means that PR and SU are equal.

3y-2=y+4
3y=y+6
2y=6
y=3

3(3)-2=9-2=7

7+4+6=17

The perimeter is 17 feet.

Hope this helps!

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You have some trading cards. You give 21 cards to a friend and have 9 left for yourself.

Evgesh-ka [11]

Answer:

Step-by-step explanation:

21 + 9 = 30

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3 years ago

i haven't submitted a single assignment for this class since winter break bc i didn't realize she was assigning things on goform

rosijanka [135]

Answer and Step-by-step explanation:

<u>Trigonometric Function (These only work for right triangles):</u>

SOH-CAH-TOA

S = Sine = sin

C = Cosine = cos

T = Tangent = tan

O = Opposite (side)

H = Hypotenuse (side)

A = Adjacent (side)

SOH = sin(angle) = $\frac{opposite}{hypotenuse}$

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1. sinQ (Q is the angle) = $\frac{14}{50} = \frac{7}{25} = 0.28$

Use Pythagorean Theorem to find side PQ. $14^{2} + PQ^{2}= 50^{2} \\PQ^{2} = 2304\\PQ = 48$

2. cosQ = $\frac{48}{50} = \frac{24}{25} = 0.96$

3. tanQ = $\frac{14}{48} = \frac{7}{24} = 0.29$

3 0

3 years ago

Graph f(x)=-2x^2-12x-21

ELEN [110]

Step-by-step explanation:

First, find the vertex. The x coordinate is -b/2a, or 12/-4=-3. Plug this back in to get -18+36-21 or -3, so the vertex is (-3, -3). Now, slowly make the x -2, -1, 0, 1, on and on. Because parabolas are symmetric along the vertex, they will have the same values as -4, -5, -6, on and on.

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3 years ago

The ratio of the measure of two supplementary angles is 15:21. What is the measure of the smallest angle?

anyanavicka [17]

Answer:

Step-by-step explanation:

The measure of two supplementary angles = 15:21

The angles are 15x , 21x

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36x = 180

x = 180/36

x = 5

Smallest angle = 15 * 5 = 75

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4 years ago

A 6-pound bag of chocolate candies costs $14.04. What is the unit price?

Ber [7]

Answer:

2.34 per pound is unit price

Step-by-step explanation:

14.04 divided by 6 is 2.34

3 0

4 years ago