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:
1500 minutes
Step-by-step explanation:
1 meter = 100 centimeters
1.5 meters = 150 centimeters
30 cm = 30 minutes
30 * 50 = 1500 minutes
1500 minutes
Subtract 2_5/8 minus 1_1/3:
First, get the fractions to have a common denominator by multiplying the denominators together: 8*3 = 24
Rewrite both fractions with this new denominator:
5/8 needs to be multiplied by 3 on top and bottom to make it have a denominator of 24:
5/8 * 3/3 = 15/24
1/3 needs to be multiplied by 8 on top and bottom to make it have a denominator of 24:
1/3 * 8/8 = 8/24
Now that the fractions have been rewritten with the same denominator, subtract the mixed numbers:
2_15/24 - 1_8/24
Whole numbers:
2 - 1 = 1
Fractions:
15/24 - 8/24 = 7/24.
The can of condensed soup contains 1_7/24 cup
Answer:
2
Step-by-step explanation: