What is the measure of angle x?

Mathematics

2 answers:

stiks02 [169]4 years ago

6 0

55
Explanation: the triangle is equal to 180, 35 plus 90 is 125 and 180-125= 55.

Lilit [14]4 years ago

6 0

Answer:

B) 55°

Step-by-step explanation:

The ∑ of all interior angles of a triangle is 180°.

When you see a square in a angle (as seen in the bottom left of the triangle), it means that it is a right angle, or 90° in measurement.

Set the equation:

180 = x + 90 + 35

First, combine like terms:

180 = x + (90 + 35)

180 = x + 125

Next, subtract 125 from both sides of the equation to isolate the x:

180 (-125) = x + 125 (-125)

x = 180 - 125

x = 55

55°, or B) is your answer.

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3 years ago

Sin 33°= 7/x<br> A. 5.9<br> B. 12.9<br> C. 10.8<br> D. 8.3

DanielleElmas [232]

Answer:

Step-by-step explanation:

The equation to solve is:

$Sin(33)=\frac{7}{x}$

Sin 33 has a value in the calculator. We simply cross multiply and do algebra and solve:

$Sin(33)=\frac{7}{x}\\Sin(33)*x=7\\x=\frac{7}{Sin(33)}\\x=12.85$

Rounding to 1 decimal place, we have:

12.85 = 12.9

Answer choice B is right.

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4 years ago

Read 2 more answers

(10 POINTS ON THIS) Anika is hiking on a rectangular trail at the national park.There are four resting spots along the corners o

nasty-shy [4]

Answer: 10 miles

Explanation:

We define the following resting spots

A = resting spot whose coordinate is (2,2)
B = resting spot whose coordinate is (2,4)
C = resting spot whose coordinate is (5,2)
D = resting spot whose coordinate is (5,4)

If you plot A, B, C, D, you will notice that

(Perimeter of the trail) = 2[(distance from A to C) + (distance from A to B)]

Note that A and C have the same y-coordinates (second number in their ordered pairs), so the distance from A to C is computed as the difference of their x-coordinates (first number in their ordered pairs). Thus,

(distance from A to C) = 5 - 2 = 3

Moreover, A and B have the same x-coordinates and so we compute the distance from A to B as the difference of their y-coordinates. Then,

(distance from A to B) = 4 - 2 = 2

Hence,

(Perimeter of the trail) = 2[(distance from A to C) + (distance from A to B)]
= 2[2 + 3]
= 2(5)
(Perimeter of the trail) = 10 miles