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yarga [219]
4 years ago
13

What is the length of AC

Mathematics
2 answers:
IgorLugansk [536]4 years ago
8 0

Answer:

The correct answer is D. 126

Step-by-step explanation:

In order to solve this exercise, we need to know that two straight triangles that are sharing a vertex like in this picture are considered similar triangles. One property of the similar triangles is that exist a linear relationship between its sides. In this exercise, one triangle is ABC and the other CDE.

The relationship that we can write is between the length of its sides.

The relationship is a division between the length of the sides :

\frac{AC}{AB}=\frac{CE}{DE} ⇒

\frac{140-x}{81}=\frac{x}{9}

Solving the equation

x=\frac{(140-x)}{81}.(9)

x=\frac{(140-x)}{9}

9x=140-x

10x=140

x=14 ⇒

If the side AC is 140-x the length is

140-14=126

The correct option is D. 126

Arte-miy333 [17]4 years ago
3 0

Answer:

126

Step-by-step explanation:

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A loaf of bread costs $0.90. Each loaf has 15 slices. How much does each slice of bread cost?
labwork [276]

Answer:

$0.06

Step-by-step explanation:

90 cents for 15 slices is .90/15 which is .06 or 6 cents

7 0
3 years ago
hey the question is, " The length of a rectangle is twice its width. The perimeter of the rectangle is 126 feet."​
Tema [17]

Answer:

42 = <em>l</em>

21 = <em>w</em>

Step-by-step explanation:

{l = 2<em>w</em>

{126 = 2<em>w</em> + 2<em>l</em>

126 = 2<em>w</em> + 2[2<em>w</em>]

126 = 2<em>w</em> + 4<em>w</em>

126 = 6<em>w</em>

21 = w [Plug this back into both equations to get the length of 42]; 42 = <em>l</em>

I am joyous to assist you anytime.

4 0
4 years ago
Three planes intersect:
Ugo [173]

Answer:

Each plane cuts the other two in a line and they form a prismatic surface. ... The second and third planes are coincident and the first is cuting them, therefore the three planes intersect in a line.

Step-by-step explanation:

5 0
3 years ago
1. Find the slope of the line that passes through the points (9, 7) and (2, 9).
Lesechka [4]

Answer:

Step-by-step explanation:

Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁)

Slope of line passing through (9, 7) and (2, 9) = (9-7)/(2-9) = -2/7

3 0
3 years ago
Read 2 more answers
Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions
Arlecino [84]

The discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions

<h3>How to interpret the discriminant?</h3>

The equation is given as:

0 = -2x^2 + 3

Rewrite as:

-2x^2 + 3 = 0

The discriminant of an equation is calculated using:

D = B^2 - 4AC

In this case, we have:

A = -2

B = 0

C = 3

So, we have:

D = (0)^2 - 4 * -2 * 3

Evaluate

D = 24

When the discriminant is 0 or more, then the equation has real roots

Hence, the discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions

Read more about quadratic functions at:

brainly.com/question/1214333

#SPJ1

6 0
2 years ago
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