Bob found 2 types of ropes at a store. They were both the same price with one that is 0.4m and the other one is 0.29. Which one is the best deal? The best deal is obviously the 0.4m
m∠a = 56°, m∠b = 34°, m∠c = 56°
Solution:
<em>Sum of the adjacent angles in a straight line is 180°.</em>
⇒ m∠a + 124° = 180°
⇒ m∠a = 180° – 124°
⇒ m∠a = 56°
∠a and ∠c are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then the vertically opposite angles are congruent.</em>
⇒ ∠a ≅ ∠c
⇒ m∠a = m∠c
⇒ m∠c = 56°
<em>Sum of the adjacent angles in a straight line is 180°.</em>
m∠b + 90° + m∠c = 180°
m∠b + 90° + 56° = 180°
m∠b + 146° = 180°
m∠b = 180° – 146°
m∠b = 34°
Hence m∠a = 56°, m∠b = 34°, m∠c = 56°.
Cross-Multiply
(5x/2)*(5)=(3/1)*(11)
12.5x=33
Divide both sides by 12.5
12.5x/12.5=33/12.5
x=2.64
I hope that's help ! Please don't forget to write it as a fraction in lowest terms. I am totally don't remember . Good night .
Answer:
He owes $175
Step-by-step explanation:
He paid a 30% deposit of 75 dollars. Let the total cost be x
30% of x is 75 dollars. In equation form
.30x = 75
Divide each side by .30
.30x/.30 = 75/.30
x =250
The total cost is 250
Since he already paid 75
The amount he still has to pay is
250-75 = 175
Answer:
D. x^4
Step-by-step explanation:
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