Step-by-step explanation:
29x - 3 + 15x + 7 = 180° because these two angles are supplementary
if we add like terms
44x + 4 = 180
44x = 176 divide both sides by 44
x = 4
29x - 3 = 13y - 17 because alternate exterior angles has same measurement
since we found the value of x let's rewrite the equation
4 × 29 - 3 = 13y - 17
113 = 13y - 17
130 = 13y divide both sides by 13
10 = y
Base x height of each of the blocks and then add them together.
Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:
Then, just solve for x:
You can check that by plugging it back into both:
Answer:
x = 3
Step-by-step explanation:
First, distribute 3 into the parenthesis:
3(4 - 2x) = -2x
12 - 6x = -2x
Next, combine your x variables by adding +6x to both side:
12 - 6x = -2x (-6x and +6x cancel out)
+6x +6x
12 = 4x (divide 12 by 4 to get x by itself)
/4 /4
x = 3
The locations specified in the order regarding the shape will be B. longest side AC; smallest angle ∠C.
<h3>How to express the information?</h3>
From the information given, in the triangle where A = 59°, B is unknown, and C = 41°. Therefore, the value of B will be:
= 180° - (59° + 41°)
= 180° - 100°
= 80°
Therefore, the locations specified in the order regarding the shape will be longest side AC; smallest angle ∠C.
In conclusion, the correct option is B.
Learn more about shapes on:
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