Answer:
The two angles are 25.5 and 114.5
Step-by-step explanation:
<u><em>x = measure of one angle
</em></u>
<u><em>5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}
</em></u>
<u><em>
x + 5x - 13 = 140 {sum of the two angles is 140}
</em></u>
<u><em>6x - 13 = 140 {combined like terms}
</em></u>
<u><em>
6x = 153 {added 13 to each side}
</em></u>
<u><em>x = 25.5 {divided each side by 6}
</em></u>
<u><em>5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}</em></u>
<u><em /></u>
Answer:
1) x = 14°, y = 5°
2) x = 18.5°, y = 37°
Step-by-step explanation:
1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°
∠MOD = ∠MOB + ∠BOD = 90°
3x + 23° + 25° = 90°
3x = 90° - 23° - 25°
x = 42°/3
x = 14°
∠LOB = ∠LOM + ∠MOB = 90°
5y + 3x + 23° = 90°
5y = 90° - 23° - 3(14°)
y = 25°/5
y = 5°
2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°
∠EOB = ∠EOD + ∠DOB = 90°
2y + 16° = 90°
y = (90° - 16°)/2
y = 37°
∠DOF = ∠BOF + ∠DOB = 90°
4x + 16° = 90°
x = (90° - 16°)/4
x = 18.5°
Answer:
D 16 cupcakes and 40 cookies
Step-by-step explanation:
I wrote an equation to solve for this
2.5x + x = 56
x represents cupcakes
3.5x = 56
x = 16
16 represents cupcakes.
16*2.5 = 40 (cookies)
Answer:
B
Step-by-step explanation:
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Step-by-step explanation: coxhck dewmsaksak sadjnsajmksa
