The measures of the unknown angles are as follows:
- ∠1 = 27
- ∠2 = 97°
- ∠3 = 56°
- ∠4 = 27°
- ∠5 = 56°
<h3>How to find the measures of angles?</h3>
When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles etc.
The parallel lines are line m and line l . The parallel lines m and l are cut by two transversals.
Therefore, the measures of the unknown angles are as follows:
∠1 = 27°(vertically opposite angles)
∠1 = ∠4(alternate angles)
∠4 = 27°
Alternate angles are congruent. Vertically opposite angles are congruent.
Therefore,
∠1 + ∠2 = 124
27 + ∠2 = 124
∠2 = 124 - 27
∠2 = 97°
∠3 = 180 - ∠2 - ∠1 (sum of angles on a straight line)
∠3 = 180 - 97 - 27
∠3 = 56°
∠5 = 180 - ∠4 - ∠2
∠5 = 180 - 97 - 27
∠5 = 56°
learn more on angles here: brainly.com/question/14684647
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Answer:
4³=64
Step-by-step explanation:
A number raised to a power implies the repeated multiplication of that number by itself to the value of its power.
Hence, four raised to the third power means multiplication of 4 by itself 3 times( 3 being the value of its exponent).
》 4×4×4=64
Answer: > ( greater than symbol. )
Step-by-step explanation:
given data:
7.6
and square root of 55 = 7.42
7.6 > √55
7.6 is greater than the square root of 55 which is 7.42
Answer:
Following are the answer to this question:
Step-by-step explanation:
Thru a summary, their ...
If angle 1 becomes opposite to angle 2 instead their adjacent sides become parallel or similar. Its diagonal from 1 is entirely compatible with the other 2nd angle per different exterior.
When both the angle 1 and 2 are opposite to each other then ASA creates two consistent triangles throughout the diagonal.
The first coefficient is 2 and the last term is 6. They multiply to 2*6 = 12.
Now we must find two factors of 12 that add to 7 (the middle coefficient).
Through trial and error, you should find that:
3*4 = 12
3+4 = 7
So 3 and 4 are the numbers we're after. We'll split the 7m into 3m+4m and use the factor by grouping method as shown in the steps below.
2m^2 + 7m + 6
2m^2 + 3m + 4m + 6
(2m^2 + 3m) + (4m + 6)
m(2m + 3) + 2(2m + 3)
(m + 2)(2m + 3)
(2m + 3)(m + 2)
The order of the factors doesn't matter since something like 2*3 is the same as 3*2.
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Verifying the answer:
You can use technology like you did to check the answer, but here's one way to do it without a calculator.
(2m + 3)(m + 2)
n(m + 2) ...... let n = 2m+3
mn + 2n .... distribute
m( n ) + 2( n )
m(2m+3) + 2(2m+3) .... plug in n = 2m+3
m*2m + m*3 + 2*2m + 2*3 .... distribute
2m^2 + 3m + 4m + 6
2m^2 + 7m + 6
We arrive back at the original trinomial, so we have confirmed the answer.
