Answer:
Side-Side-Side [SSS]
Step-by-step explanation:
You know this since the little bars sticking outside of the triangle show that those 2 lines are congruent. Then you know of one line being the same for both, so you then know all of the sides. And since all of the side lengths are equal, this triangle is congruent by Side-Side-Side.
Answer:
The brace is ft ≅ 12.806 ft long
Step-by-step explanation:
The length of the diagonal of a rectangle can be found using this rule
, where
∵ The gate has shaped a rectangle
∵ Its length = 10 ft
∵ Its width = 8 ft
∴ l = 10 and w = 8
∵ The brace is the diagonal
→ By using the rule above
∴
∴ The length of the brace = ≅ 12.806 ft
∴ The brace is ≅12.806 ft long
Answer:
1654 feet
Step-by-step explanation:
This is the answer
Prove: x = 28
Statements
Reasons
1. m ZELG = 124
1. given
2. m ZELD = 2x
2. given
H
L
3. ZELG and ZELD are
a linear pair
3. definition of a linear pair
(2x)
G
4. m ZELD + m ZELG = 180
4.
Ε
• F.
5. 2x + 124 = 180
5. substitution
Complete the steps in the two-column proof.
6.
6. subtraction property
7. x = 28
7. division property
Intro
Done
vity
The corresponding angles of the lines solved and the value of x = 28°
Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.
We can conclude three factors determining parallel lines ,
Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
Given data ,
Let the measure of ∠ELG = 124°
The measure of ∠ELD = 2x
∠ELG and ∠ELD are a linear pairs of angles
So , the measure of ∠ELG + ∠ELD = 180°
On simplifying , we get
2x + 124° = 180°
Subtracting 124° on both sides , we get
2x = 56°
Divide by 2 on both sides , we get
x = 28°
Therefore , the value of x is 28°
Hence , the angle is x = 28°
To learn more about angles in parallel lines click :
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Answer:
1. angle addition post
2. 2x=56
Step-by-step explanation:
2 step - substraction property of equality ( from both side taking away 17/3
4 and 6 step - division property of equality ( both sides divided by -5/4 which by flipping becoming -4/5)
7 step - simplify
Answer:
3.9-21=-17.1
Step-by-step explanation:
3.9-21
3.9+-21
=-17.1