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Romashka [77]
3 years ago
13

often there are multiple ways to prove that lines are parallel. how easily do you recognize different possibilities

Mathematics
2 answers:
harina [27]3 years ago
8 0

alternate angles are equal, the co-interior angles are supplementary, and the corresponding angles are congruent.

Hope you understand

olya-2409 [2.1K]3 years ago
4 0
<h3>The alternate angles are equal, the co-interior angles are supplementary, and the corresponding angles are congruent.</h3>
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In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not nec
steposvetlana [31]

Answer: 5

Step-by-step explanation:

Since \overline{GH} \parallel \overline{DE}, by the corresponding angles theorem, \angle FGH \cong \angle FDE, \angle FHG \cong \angle FED. This means \triangle FGH \sim \triangle FDE by AA.

As corresponding sides of similar triangles are proportional,

\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5
However, as distance must be positive, we consider the positive solution, x=5.

Therefore, the answer is <u>5</u>

6 0
2 years ago
Write and solve a proportion to answer the question. (Skills Review Handbook) 22. 30 is 15% of what number?
algol13

Answer:

The answer is 148.6666667

Step-by-step explanation:

1) Set a linear quation

\frac{22.30}{x}  =  \frac{15}{100}

2) Cross multiply

15x = 22.30 \times 100

3) Multiple the right side

15x = 2230

4) Divide both side by 15

\frac{15x}{15}  =  \frac{2230}{15}

5) Solve the linear equation

x = 148.6666667

3 0
2 years ago
Helppp pleaseee
Oliga [24]
B.28 Years Hope it help
7 0
3 years ago
Determine whether AB ← → and CD ← → − are parallel, perpendicular, or neither. A(-6, 2), B(−3, -4), C(1, -3), D(3, 4)
guapka [62]
Neither they connect but don’t make a 90 degree angle

6 0
2 years ago
What is the square root of 25<br><br>a.4<br>b.21<br>c.10<br>d.1​
photoshop1234 [79]

the square root of 25 is 5

5x5=25

5 0
3 years ago
Read 2 more answers
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