plug a=2 and b=4 in the expression
5(2)+7(4)
simplify
10+28
solve
=38
The expression that must be true for a to be parallel to b are mAngle2 = 58Degrees and <1 = 4x - 10
<h3>Lines and angles</h3>
A line is the shortest distance between two points and the point where two lines meet is known as an angle
From the figure shown
m<2 = 58 degrees (alternate exterior angle)
Since the sum of angles on a straight line is 180 degrees, hence;
3x-1+<2 + 4x - 10= 180
3x-1 + 58 + 4x - 10 =180
7x + 47 = 180
7x = 180- 47
7x = 133
x = 19
Hence the expression that must be true for a to be parallel to b are mAngle2 = 58Degrees and <1 = 4x - 10
Learn more on lines and angles here; brainly.com/question/25770607
#SPJ1
Answer:
x = 3
Step-by-step explanation:
<u>Data</u>
Therefore:
- CE = CD + DE = x + 1 + 14 = x + 15 units
- CA = CB + BA = x + 21 units
From Intersecting Secants Theorem
:
CD*CE = CB*CA
Replacing with data:
(x + 1)*(x + 15) = x*(x + 21)
x² + 15x + x + 15 = x² + 21x
x² + 15x + x + 15 -x² - 21x = 0
15 - 5x = 0
15 = 5x
15/5 = x
3 = x
Equation 1) y = x² + 10x + 11
Equation 2) y = x² + x - 7
Subtract equations from one another.
9x = 18
Divide both sides by 9.
x = 2
Plug in 2 for x in the first equation.
y = x² + 10x + 11
y = 2² + 10(2) + 11
Simplify.
y = 4 + 20 + 11
y = 35
Plug in 35 for y and 2 for x in the first equation to check your work.
y = x² + 10x + 11
35 = 2² + 10(2) + 11
35 = 4 + 20 + 11
35 = 24 + 11
35 = 35
So, we know that our answer is correct! :))
x = 2, y = 35