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Ne4ueva [31]
3 years ago
11

The sum of the interior angle measures of a triangle is 180°. Angle B is three times the measure of angle A. Angle C is 52°. Fin

d the value of x.
Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0

Answer:

x = 30.5

Step-by-step explanation:

Givens

Let the smallest angle = x

Let the next angle = 3x

Let the third angle = 52

Every triangle = 180 degrees.

Equation

x + 3x + 52 = 180

Solution

4x + 52 = 180                   Subtract 52 from both sides.

4x + 52 - 52 = 180 - 52   Combine

4x = 122                           Divide by 4

4x/4 = 122/4

x = 30.5

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arsen [322]
-14 = -5 + 3c

First, regroup your terms. / Your problem should look like: -14 = 3c - 5
Second, add 5 to both sides. / Your problem should look like: -14 + 5 = 3c
Third, simplify -14 + 5 to -9. / Your problem should look like: -9 = 3c
Fourth, divide both sides by 3. / Your problem should look like: -\frac{9}{3} = c
Fifth, simplify the fraction to 3. / Your problem should look like: -3 = c
Sixth, switch your sides. / Your problem should look like: c = -3

Answer: c = -3

3 0
3 years ago
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vaieri [72.5K]
Option 1 is the correct answer
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3 years ago
What is the area of a triangle whose vertices are D(3, 3) , E(3, −1) , and F(−2, −5) What is the area of the rectangle?
RideAnS [48]

Answer:

The area of the triangle with the given vertices is 10 square units

Step-by-step explanation:

      x   y

D    3   3

E    3   -1

F   -2   -5

D    3   3


Area: A=Abs [(xd ye + xe yf + xf yd) - (yd xe + ye xf + yf xd)] /2

Absolute value: Abs

A = Abs { [(3)(-1)+(3)(-5)+(-2)(3)] - [(3)(3)+(-1)(-2)+(-5)(3)] } / 2

A = Abs [ (-3-15-6)-(9+2-15) ] / 2

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4 0
3 years ago
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tigry1 [53]

Answer:

m∠QPR = 35°         m∠QPM =40°       m∠PRS = 30°

Step-by-step explanation:

ΔPRQ is a right triangle with right angle at R.  So m∠QPR = 90 - 55 = 35

ΔQPM is a right triangle with right angle at M.  So m∠QPM = 90 - 40 = 40

Arc RQ = 2(35) = 70 and arc SR = 2(25) = 50.  

So arc PS = 180 - (arc RQ + arc SR) = 180 - (70 + 50) = 180 - 120 = 60

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Therefore, m∠PRS = 60/2 = 30

I used the fact that an inscribed angle has a measure 1/2 the measure of the intercepted arc several times.  Also, I used the fact that the acute angles of a right triangle are complementary.  And, finally I used the fact that an inscribed angle in a semicircle is a right angle.

I hope this helped.

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What is 2,394x57,234​
eduard
The answer is 137,018,196
Explanation calculator
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