Answer:
The rate of change in -4
Step-by-step explanation:
The rate of change is also known as the slope
To do this, take two points {(-2, 17) , (-1, 13)} and find the slope
m = slope
m = change in y/change in x
m = 13 - 17/-1 - (-2)
m = -4/1
m = -4
The rate of change in -4
The value of x will be2.217 and PR will be 13.085 units.
<h3>What is a line segment?</h3>
A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given that,
Line PQ consists of two segments PR and RQ
So,
PQ = PR + RQ
17 = 5x+2 + x² - 1
x² + 5x - 16 = 0
The roots of the equation will be
x = [-5 + √(25 + 64) ] ÷ 2
x = 2.217
Now,
PR = 5(2.217) + 2 = 13.085
Hence "The value of x will be2.217 and PR will be 13.085 units".
For more about line segment,
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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
Answer: squareroot of 58
You can solve this problem simply by using the <u>distance formula .</u> Using the distance formula we can solve this problem by just placing the numbers and then solving the equation.
