Answer:
m∠PTQ = 40°
Step-by-step explanation:
From the picture attached,
Two lines PS and RQ are intersecting each other at a point T.
Vertical angles formed at the point of intersection T will be equal in measure.
m∠PTQ = m∠STR and m∠PTR = m∠QTS
Therefore, (x + 28)° = (2x + 16)°
28 - 16 = 2x - x
12 = x
m∠PTQ = (x + 28)°
= 12 + 28
= 40°
Therefore, measure of angle PTQ is 40°.
Answer:
m = 18
Step-by-step explanation:
-2/3m = -12
multiply both sides of the equation by 3:
-2/3m(3) = -12(3)
simplify:
-2m = -36
divide both sides by -2:
-2m/-2 = -36/-2
simplify:
m = 18
Answer:
A construction crew has just finished building a road. The crew worked for 5 5/6 days. how many kilometers long, how many kilometers of road did they build each day? (Assume they built the same amount each day.) hope this helps ; )
Step-by-step explanation:
Answer:
The value of the expression given is:
Step-by-step explanation:
First, you must divide the expression in three, and to the final, you can multiply it:
- [(3^8)*(2^(-5))*(9^0)]^(-2)
- [(2^(-2))/(3^3)]^4
- 3^28
Now, we can solve each part one by one:
<em>First part.
</em>
- 3^8 = 6561
- 2^(-5) = 0.03125
- 9^0 = 1 (Whatever number elevated to 0, its value is 1)
- (6561 * 0,03125 * 1) = 205.03125
And we elevate this to -2:
- 205.03125^-2 = 2<u>.378810688*10^(-5)</u> or <u>0.00002378810688
</u>
<em>Second part.
</em>
- 2^(-2) = 0.25
- 3^3 = 27
- 0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925
And we elevate this to 4:
- 0.00925925925925^4 = <u>7.350298528 * 10^(-9)</u> or <u>0.000000007350298528
</u>
<em>Third Part.
</em>
- 3^28 = <u>2.287679245 * 10^13</u> or <u>22876792450000</u>
At last, we multiply all the results obtained:
- 0.00002378810688 * 0.000000007350298528 * 22876792450000 = <u>3.999999999999999999</u> approximately <u>4</u>
<u><em>We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result</em></u>.
Answer Point R = 7/10
and Point
T = 9/10
7/10 · 9/10 = 63
63/100
6
/10 = point Q.
Step-by-step explanation:
