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3 years ago

Two parallel lines are cut by a transversal. What is the measure of <8?

Mathematics

2 answers:

Pavlova-9 [17]3 years ago

5 0

Answer:

C. 100°

Step-by-step explanation:

Line n || Line p and line t is their transversal.

Therefore,

$m \angle 8 = 100 \degree \\ (corresponding \: \angle s)$

Leni [432]3 years ago

5 0

Answer:

Step-by-step explanation:

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Solve the quadratic equation. (a + 5)2 +36 = 9

Andrej [43]

Answer:

No solution unless you want to solve for an imaginary number which in that case $a=27i-5$

Step-by-step explanation:

$(a+5)^{2} +36=9$

$(a+5)^2=-27$

$a+5=\sqrt{-27}$

Here you can stop and say "no solution" since you cannot square root a negative number, but if you want you can still solve for an imaginary number:

$a+5=\sqrt{-1} \sqrt{27}$

$a+5=27i$

$a=27i-5$

6 0

3 years ago

7.find the equation of a circle with one of the diameters x+2y+8=0and passing through the intersection of a circle x²+y²+2=0 and

ozzi

Answer:

See below

Step-by-step explanation:

Find the intersection of circles

x² + y² + 2x = 0 and
x² + y² - 3y = 0

Subtract the equations to find:

2x = -3y ⇒ y = -2/3x

By substitution find the points:

(0, 0) and (-1.385, 0.923)

Find midpoint between these two points:

x = (0- 1.385)/2 = -0.6925 , y = (0 + 0.923)/2 = 0.4615

Find perpendicular bisector passing through this point:

y - 0.4615 = 3/2(x + 0.6925)
y = 1.5x + 0.4615 + 1.5(0.6925)
y = 1.5x + 1.50025

Find intersection of the lines, it is the center:

y = 1.5x + 1.50025
x + 2y + 8 = 0

Solving we get:

x = -2,75, y = -2.625

Find radius, the distance from center to point (0, 0) and get equation of circle:

(x + 2.75)² + (y + 2.625)² = (0 + 2.75)² + (0 + 2.625)²
x² + 5.5x + y² + 5.25y = 0
4x² + 22x + y² + 21y = 0
4x² + 4y² + 22x + 21y = 0

4 0

3 years ago

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Leslie gets paid $9 per hour and received a $100 bonus.

natta225 [31]

Answer:

so whats the question??

Step-by-step explanation:

6 0

3 years ago

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In a triangle, one angle measures 68° and another

Stells [14]

Answer:

74 i believe because all angle measurements must equal 180

Step-by-step explanation:

5 0

3 years ago

2-V18 - 2/12 + 2V18 =

Zepler [3.9K]

Answer:

D=12/2

Step-by-step explanation:

Let's simplify step-by-step.

2−v18− 2 /12 +2v18

=2+−v18+ −1 /6 +2v18

(−v18+2v18)+(2+ −1 /6 )

v18+ 11 /6

D=Correcto

2-V^{18}-2/12+2V^{18}=12/2

v=1.082512

7 0

3 years ago

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