Answer:
c = 36.06
Step-by-step explanation:
a² + b² = c²
20² + 30² = c²
400 + 900 = c²
c² = 1300
c = 36.06
The sum of a certain number and -3.4 is -8.1 find the number
2 answers:
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Answer:
Given: ABCD is a parallelogram.
Prove: Angle A and B are supplementary and C and D are supplementary.
That is, m∠A + m∠B = 180° and m∠C + m∠D = 180°
Statement Reason
1. ABCD is a parallelogram 1. Given
2.m∠A=m∠C and m∠B=m∠D 2. Definition of parallelogram.
3.m∠A+m∠B+m∠C+m∠D=360° 3. Definition of quadrilateral
4. m∠A+m∠B+m∠A+m∠B=360° 4. By substitution
⇒ 2( m∠A + m∠B ) = 360°
⇒ m∠A + m∠B = 180°
Similarly, m∠C + m∠D = 180°
5.∠A and ∠C are supplementary, 5. Def. of Supplementary
∠ B and ∠D are supplementary
The value of x from the given conditions is 35.
The line TV and RI intersect at E.
The measure of IVE=50° and the measure of VIE=70°.
Since, the points V, I and E makes a triangle.
Therefore, the total angle inside the triangle is 180°.
Hence,
∠IVE + ∠VIE + ∠VEI = 180°
50°+70°+ ∠VEI = 180°
∠VEI = 180°-50°-70°
∠VEI = 60°
Also the angles ∠VEI and the angle ∠RET are congruent.
Therefore, ∠VEI = ∠RET
60° = 2x-10
2x = 70
x = 70/2
x = 35.
The lines TV and RI intersect at E. If the measure of IVE=50, the measure of VIE=70 and the measure of RET=2X-10. Then the value of x = 35.
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