a. Using the vertical angles theorem, m∠7 = 47°.
b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.
c. x = 69
<h3>What is a Linear Pair?</h3>
A linear pair is two angles whose sum equals 180°.
Given the image, where:
m∠5 = 47°
a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:
m∠7 = m∠5 = 47°
m∠7 = 47°
b. m∠6 = (2x - 5)°
m∠6 + m∠5 = 180° (linear pair)
Substitute
2x - 5 + 47 = 180 (equation that can be used to solve x)
c. 2x - 5 + 47 = 180
2x + 42 = 180
2x = 180 - 42
2x = 138
x = 138/2
x = 69
Learn more about linear pair on:
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9514 1404 393
Answer:
4 : 1
Step-by-step explanation:
Each segment joining midpoints is called a "midline." It is parallel to the segment not being joined, and is half its length. All the dimensions of the smaller triangle are half those of the larger triangle. (They are similar triangles.) The ratio of areas is the square of the ratio of side lengths:
2² : 1² = 4 : 1 . . . . . . ratio of triangle areas
None of those is. The expression 4 In x + In 3 – In r
is equivalent to the epression <em>ln( 3x⁴ / r)</em> .
We break apart the first numer:
10+8
the second:
20+1
and add like this:
18+21=10+8 + 20+1
now, we can mix up the order:
18+21=10+8 + 20+1= 10+20 + 8+1
add the parts:
18+21=10+8 + 20+1= 10+20 + 8+1=30+9=39
