Combine like terms.
2x+20=3x-5
20=3x-5-2x
20+5=3x-2x
25=x
Answer:Answer:
13.0feet
Step-by-step explanation:
Given ΔDEF with ∠F=90°, the measure of ∠D=19°, and DE = 40 feet, since one of the angles of the triangle is 90°, the triangle is a right angled triangle as shown in the attachment.
Using SOH, CAH, TOA to get the unknown EF.
Since <D is opposite to side EF, EF will be the opposite while side DE will be the hypotenuse
Based on SOH:
Sin<D = Opposite/Hypotenuse
Sin<D = EF/DE
Sin19° = EF/40
EF = 40sin19°
EF = 13.0 feet to the nearest tenth of a foot
Answer:
To find the value of y, you need to isolate the variable. To do this, add 21 to -12. This gives you 9. Now, you're equation is set as 9 = y. This means that the value of y is 9.
Step-by-step explanation:
Based on the definition of supplementary angles, the measure of both angles are: 80° and 100°.
<h3>What are Supplementary Angles?</h3>
The sum of angles that are supplementary to each other equals 180 degrees.
Let the measure of the supplementary angle be x.
The other angle will be: x + 20.
(x + 20) + x = 180
x + 20 + x = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80°
The other angle will be x + 20 = 80 + 20 = 100°.
The measure of the angles are: 80° and 100°.
Learn more about supplementary angles on:
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Answer:
Step-by-step explanation:
the longest side of a right triangle, opposite the right angle.