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2 years ago

Solve for x. Round your answer to the nearest tenth if necessary.

Mathematics

1 answer:

Kay [80]2 years ago

8 0

Answer: 8.8

Step-by-step explanation:

Because $\angle S \cong \angle S$ by the reflexive property, we know that $\triangle STU \sim \triangle SQR$ by AA.

So, by the triangle proportionality theorem,

$\frac{x}{5.3}=\frac{11.1}{6.7}\\x=(11.1/6.7)(5.3) \approx \boxed{8.8}$

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Which statements can be used to prove that ABC and A’B’C are congruent?

Nadusha1986 [10]

Answer:

O A.

Step-by-step explanation:

Option A identifies two angles (sufficient for similarity) and one side, sufficient (with similarity) for congruence. The applicable congruence theorem is AAS.

Option B identifies two sides and the angle not between them. The two triangles will be congruent in that case only if the angle is opposite the longest side, which is not true in general.

Option C same deal as Option A.

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3 years ago

How do you do this question?

mihalych1998 [28]

Answer:

C) π/6

Step-by-step explanation:

The area under the curve from x=-π/2 to x=k is 3 times the area under the curve from x=k to x=π/2.

$\int\limits^k_{-\frac{\pi }{2}} {cos\ x} \, dx = 3\int\limits^{\frac{\pi }{2}}_k {cos\ x} \, dx\\sin\ x\ |^{k}_{-\frac{\pi }{2}} = 3\ sin\ x\ |^{\frac{\pi }{2}}_k\\(sin\ k - (-1)) = 3\ (1 - sin\ k)\\sin\ k + 1 = 3 - 3\ sin\ k\\4\ sin\ k = 2\\sin\ k = \frac{1}{2}\\k = \frac{\pi}{6}$

Graph: desmos.com/calculator/mezlen9hb4

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3 years ago

68 less than 5 times a number is equal to the number. What is the number?

makvit [3.9K]

I think the answer is 5x−68

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3 years ago