Find the measure of ∠e, if m∠g = x + 17 and m∠f = 4x + 3. Answer choices: 131 49 4.6 15
1 answer:
Answer:
Step-by-step explanation:
→ We know that co-interior angles add up to 180°, so we can set up an equation
x + 17 + 4x + 3 = 180
→ Collect the x terms
5x + 17 + 3 = 180
→ Collect the integers
5x + 20 = 180
→ Minus 20 from both sides to isolate 5x
5x = 160
→ Divide both sides by 5 to isolate x
x = 32
⇒ Now we know the value of x, we can substitute it in back into m∠f because we know angles on a straight line add up to 180°
4x + 3 when x = 32 ⇔ 4 × 32 + 3 ⇔ 128 + 3 ⇔ 131
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Answer:
50 yellow marbles.
Step-by-step explanation:
Information:
170 marbles
RED : BLUE : YELLOW
9 : 3 : 5
Solving:
To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.
Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.
The bag contains 170 marbles and the ratio adds up to 17 parts.
We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.
= 10.
1 part = 10
Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.
5 x 10 = 50.
Therefore we have 50 yellow marbles.