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Vesna [10]
2 years ago
12

In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triang

le RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR.
Mathematics
1 answer:
shtirl [24]2 years ago
3 0

1) \overline{RS} \perp \overline{ST}, \overline{RS} \perp \overline{SQ}, \angle STR \cong \angle SQR (given)

2) \overline{RS} \cong \overline{RS} (reflexive property)

3) \angle RST and \angle RSQ are right angles (perpendicular lines form right angles)

4) \triangle RST \cong \triangle RSQ (AAS)

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vitfil [10]

Answer:

5 cm

Step-by-step explanation:

We know these are similar triangles, so we can use ratios of side lengths

x/40 = 4/32

Using cross products

32x = 4*40

32x = 160

Divide each side by 32

32x/32 = 160/32

x =5

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4 years ago
What is the product of (-a+3)(a+4)?<br><br> a^2-a+12<br> a^2-a-12<br> -a^2-a-12<br> -a^2-a+12
Damm [24]

Answer:

-a^2 + -a + 12

Step-by-step explanation:

Expand the following:

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(3 - a) (a + 4) = (3) (a) + (3) (4) + (-a) (a) + (-a) (4):

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-a a + 3 a - 4 a + 12

-a a = -a^2:

-a^2 + 3 a - 4 a + 12

Grouping like terms, -a^2 + 3 a + 4 (-1) a + 12 = -a^2 + (3 a - 4 a) + 12:

-a^2 + (3 a - 4 a) + 12

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4 0
4 years ago
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Step-by-step explanation:

8 0
3 years ago
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Volume=<br> Help me please thanks so much asap
hjlf

Answer:

600

Step-by-step explanation:

since it is a right triangle based pyramid, 2 of them will make a cube. so, it is bwh / 2.

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2 years ago
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dimaraw [331]

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C.

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