Step-by-step explanation:
the angle CDB is the supplementary angle to 9x+10 (angle ADC).
that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.
and then, the sum of all angles in a triangle is always 180°.
so,
CDB + (4x + 10) + 50 = 180
CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x
therefore,
(170 - 9x) + (4x + 10) + 50 = 180
170 - 9x + 4x + 10 + 50 = 180
-5x = -50
5x = 50
x = 10
angle CDB = 170 - 9x = 170 - 90 = 80°
The lines mean that they are parallel
Answer:
∠MNP is your answer
Step-by-step explanation:
Note the angle and the order it is said. It is ∠ABC, which means the double line side, one curve line angle, and then triple line side.
Now look at the second triangle, the same double line side (NM), one curve line angle (∠N), and triple line side (NP)
Put them together: ∠MNP is your answer
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Answer:
Step-by-step explanation:49
2.5 pounds of grain cost ======= $1.75
∴ 5.3 pounds of grain will cost ===== (5.3×1.75)/2.5 = $3.71
