The measure of ∠PQR will be 123° .
Interior Angles of an Angle:
An interior of an angle is a line that separates an angle into two angles. If BD is the interior of an angle ABC then the measure of the angle ABC is the sum of both the angles.
∠ABC = ∠ABD +∠DBC
We can divide an angle into many interior parts or angles.
If we have an angle and there are many interiors that divides the angle into many parts than the sum of all the interior angles is equal to the measure of the original angle.
If we have D and E are the two interiors of ∠ABC then ,
∠ABC =∠ABD + ∠DBE + ∠EBC
Given that point T is in the interior of ∠PQR and ∠PQR =10x-7
∠RQT = 5x°
∠PQT=(4x+6) .
Since T is the interior of ∠PQR ,
∠PQR = ∠PQT + ∠RQT
10x-7 = 4x + 6 + 5x
10x-7 = 9x + 6
x = 13°
So from the equation(1)-
∠PQR = 10(13) - 7
∠PQR = 123°
So ∠PQR = 123° .
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Answer:
x = 1.086
Step-by-step explanation:
Formula
6^x = 7 Take the log of both sides.
Solution
log 6^x = log 7 Bring the power down You are now dealing with log 6
x * log 6 = log 7 Divide by log 6
x = log 7/log 6
x = .8451 / .7782 Divide
Answer
x = 1.086
Answer:
3+4p+8t
Step-by-step explanation:
First, you want to find a common denominator. The easiest way to do this is to multiple the two denominators together. A common denominator between these two fractions is 10. Two fifths times 2 is 4/10. 1/2 times 5 is 5/10. Add these two fractions together. 4/10+5/10= 9/10. That means 9/10 of the people are employees or their spouses. Now, 10/10 is one whole. You want to subtract 10/10-9/10. Your answer would be 1/10 of the people are now. Now to get your answer to a percent you have to divide 1 by 10. By doing this you get 0.1. Move the decimal 2 places to the right to get 10% of people are not an employee or spouse. Hope this helped!
Answer:
x = 7
Step-by-step explanation:
The 2 angles are Alternate exterior angles and are congruent, so
2x - 3 = x + 4 ( subtract x from both sides )
x - 3 = 4 ( add 3 to both sides )
x = 7
For the lines to be parallel, then x = 7
