The measurement of angle x is 40°. these two triangle are congruent so their sides share the same length and their angles share the same degrees
Answer:
43
Step-by-step explanation:
Given
2(p - q) + 5(p + q) ← substitute p = 7 and q = - 2 into the expression
= 2(7 - (- 2)) + 5(7 + (- 2))
= 2(7 + 2) + 5(7 - 2)
= 2(9) + 5(5)
= 18 + 25
= 43
Answer:
30 m²
Step-by-step explanation:
What is the area of this triangle? A=bh/2 17 m² 30 m² 60 m² 120 m² Right triangle with height labeled 12 m, base labeled 5 m, and third side labeled 13 m.
Area of a triangle = bh/2
b = Base = 5m
h = Height = 12m
Area of the triangle = 5m × 12m/2
= 60m²/2
= 30 m²
Answer: 5.6
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Work Shown:
cos(angle) = adjacent/hypotenuse
cos(B) = AB/BC
cos(62) = AB/12
12*cos(62) = AB
AB = 12*cos(62)
AB = 5.63365875
AB = 5.6
Answer: 1045 cm of red ribbon and 1045 cm of yellow ribbon
<u>Step-by-step explanation:</u>
Let R represent the amount red ribbon and Y represent the amouont of yellow ribbon.
- bought the same lengths of red and yellow: R = Y
- after used 286 of red, yellow is 5 times the remaining red; 5(R - 836) = Y
Use substitution method to solve:
5(R - 836) = R
5R - 4180 = R <em>distributed 5 on the left side</em>
4R - 4180 = 0 <em>subtracted R from both sides</em>
4R = 4180 <em>added 4180 to both sides</em>
R = 1045 <em>divided both sides by 4</em>