Geometry help please

Mathematics

1 answer:

Leokris [45]3 years ago

7 0

Opposite sides of a rectangle are congruent

QT = RS
45 = 5x - 5
50 = 5x
10 = x

D is the answer

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Solving linear-quadratic systems algebraically<br><br> y+2=(x-3)^2<br> y+3=x

Vikentia [17]

Answer:

(2, - 1 ) and (5, 2 )

Step-by-step explanation:

y + 2 = (x - 3)² → (1)

y + 3 = x ( subtract 3 from both sides )

y = x - 3 → (2)

Substitute y = x - 3 into (1)

x - 3 + 2 = (x - 3)² ← expand using FOIL

x - 1 = x² - 6x + 9 ( subtract x - 1 from both sides )

0 = x² - 7x + 10 ← in standard form

0 = (x - 2)(x - 5) ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 5 = 0 ⇒ x = 5

Substitute these values into (2) for corresponding values of y

x = 2 : y = 2 - 3 = - 1 ⇒ (2, - 1 )

x = 5 : y = 5 - 3 = 2 ⇒ (5, 2 )

5 0

3 years ago

Can someone please explain how the answer to this is, "19 and 3", "1 and 12"

Makovka662 [10]

Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18, 19.

<h3>What are Alternate Exterior Angles?</h3>

These are known to be the Alternate exterior angles that are regarded as the pair of angles found on the outer side of the two parallel lines but they are seen on the opposite side of the transversal.

Note that in the image given, there are two parallel lines and two transversal lines.

Note also that to get the Alternate exterior angles, it has to be the angles seen on the seen on the opposite side of the transversal that has crossed the parallels lines and from the image given, only angle 1, 2, 3, 4,13,14, 18, 19 fit into the description.

Therefore, Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18 19.

Learn more about Alternate Exterior Angles from

brainly.com/question/2398628

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2 years ago

Two less then 2 times a number is the same as the number plus 64. What is the number?

Sindrei [870]

Answer:

Step-by-step explanation:

Lets say the number is x

So the equation follows : 2x-2=x+64