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keitorinjonson
25.06.2019 •
Mathematics
1. in parallelogram efgh, the measure of angle f is (3x − 10)° and the measure of angle g is (5x + 22)°. what is the measure of angle g? 42° 53° 117° 127° 2. abcd is a parallelogram with diagonal ac. if the measure of angle cab is 21° and the measure of angle adc is 125°, what is the measure of angle dac? parallelogram abcd with diagonal ac; the measure of angle adc is 125 degrees, and the measure of angle cab is 21 degrees. 73° 62° 42° 34° can you show how to solve as well? you.
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Ответ:
1.
Since we have parallelogram EFGH, we also know that EF║GH.
Therefore:
∠F + ∠G = 180°
(3x − 10)° + (5x + 22)° = 180°
3x + 5x - 10° + 22° = 180°
8x + 12° = 180°
8x = 180° - 12° = 168°
x = 168°/8 = 21°
Now use the new value of x to calculate angle G:
(5 · 21 + 22)° = 127°
2.
Since we have parallelogram ABCD, we also know that AB║CD
Therefore:
∠ADC + ∠DAB = 180°
∠ADC + (∠CAB + ∠DAC) = 180°
125° + (21° + ∠DAC) = 180°
∠DAC = 180° - 21° - 125°
∠DAC = 34°
Ответ:
A)
Step-by-step explanation:
V=1/3(
r²)h
3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side
3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)
3V/(πr²)=h is the final answer so that matches A