Complementary angles add up to 90
<span>°, therefore, let's say the angles are "a" and "b".
so the sum of "a" plus " 5 times its complement", that is 5 times "b" is 298, so
a + 5b = 298.
now, if a + b = 90, that means
b = 90 - a.
therefore
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Answer:
chloe and 16
Step-by-step explanation:
x = 4 and EF = 4 ⇒ 3rd answer
Step-by-step explanation:
If two triangles are congruent, then
1. Their corresponding sides are equal
2. Their corresponding angles are equal
3. Their areas and perimeters are equal
∵ △ ABC ≅ △ DEF
∴ AB ≅ DE
∴ BC ≅ EF
∴ AC ≅ DF
∵ BC = 4 x - 12
∵ EF = -3 x + 16
∵ BC = EF
∴ 4 x - 12 = -3 x + 16
Let us solve the equation to find x
∵ 4 x - 12 = -3 x + 16
- Add 3 x for both sides
∴ 7 x - 12 = 16
- Add 12 to both sides
∴ 7 x = 28
- Divide both sides by 7
∴ x = 4
Substitute the value of x in the expression of EF
∵ EF = -3 x + 16
∵ x = 4
∴ EF = -3(4) + 16 = -12 + 16
∴ EF = 4
x = 4 and EF = 4
Learn more:
You can learn more about congruence of Δs in brainly.com/question/3202836
#LearnwithBrainly
125x + 55 < 555
Okay, subtract 55 from both sides.
125x < 500
Divide by 125 to isolate the x.
125x < 500
/125 /125
x < 4
The school can have the DJ for less than 4 hours, or for 4 hours. Hope that helps.
Answer:
1/3 π
Step-by-step explanation:
θ (radian measure of central angle) = s (length of subtend arc) / r (radius)
θ = (1/6 x 2πr) / r = 1/3 πr / r = 1/3 π
