2. The following triangle, ∆, has angle measures as shown.

Mathematics

1 answer:

klio [65]2 years ago

6 0

Answer:

x=29. Angle C= 93

Step-by-step explanation:

3(x+2)= 3x+6.

3x+6+52+35= 3x+93.

180-93=87.

87/3= 29. So that means x=29.

for proof you can do 3(29)+93 and you'll get 180.

For angle C; 3(29+2)= 3x31. 31x3= 93.

Angle C= 93 degrees.

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If m< DBG=58 and mDG =74 , find mGE

mestny [16]

Answer:

Option D: mGE = 190°

Step-by-step explanation:

From the property of angles of secant and tangent lines, we have:

DBG = (mGE - mDG)/2

(That is, the angle in point B is half the difference of the larger arc by the smaller arc defined by the lines)

So, we have that:

58 = (mGE - 74)/2

2*58 = mGE - 74

mGE = 116 + 74 = 190°

So we have that mGE is equal to 190°, correct option: D.

5 0

2 years ago

Write the percent shown by each model. Explain your reasoning.

Sphinxa [80]

A) 1/3=33 1/3%
B) 2/3=66 2/3%
C) 1/6=16 2/3%

A) YOU CAN TURN THE FRACTION 1/3 INTO A DECIMAL WHICH WILL BE AROUND 0.333. THEN YOU TURN THE DECIMAL INTO A PERCENT. YOU CAN MOVE THE DECIMAL TWO PLACES TO THE RIGHT. THAT GIVES YOU 33.3% OR 33 1/3% THIS ALSO APPLIES TO B BUT WITH 0.666 AND 66.6%

FOR C, YOU DO THE SAME. 1/6 AS A DECIMAL IS 1.666. YOU MOVE THE DECIMAL TWO PLACES TO THE RIGHT. 16.6% OR 16 2/3%

HOPE THIS HELPED.

8 0

3 years ago

Given qr = 4.8, m angle r space equals space 80 degree , and m angle p equals 42 degree ... if you want to find pq.... a. should

Lady bird [3.3K]

By applying the law of sines, the length of side PQ is equal to 7.1 units.

<h3>What is the law of sines?</h3>

The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

<h3>How to calculate the length of PQ?</h3>

Mathematically, the law of sines is given by this equation:

$\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}$