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3 years ago

I'm confused on how to do this question

Mathematics

1 answer:

laila [671]3 years ago

3 0

Answer:

CE = 35

Step-by-step explanation:

Based on the Triangle Proportionality Theorem, BD divides AC and CE proportionally. This implies that:

BC:AB = DC:DE

Plug in the values

(x - 5)/6 = 14/(2x + 3)

(x - 5)(2x + 3) = 14*6

x(2x + 3) -5(2x + 3) = 84

2x² + 3x - 10x - 15 = 84

2x² - 7x - 15 - 84 = 0

2x² - 7x - 99 = 0

Factorize

2x² - 18x + 11x - 99 = 0

2x(x - 9) +11(x - 9) = 0

(2x + 11)(x - 9) = 0

2x = -11

x = -11/2

x = 9

Let's take the positive value of x

Thus:

CE = 14 + 2x + 3

Plug in the value of x

CE = 14 + 2(9) + 3

CE = 14 + 18 + 3

CE = 35

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The perimeter of a stop sign with 8 sides of equal length is 8n. What does the variable "n" represent?

andriy [413]

The "n" in this expression will stand for the length of the sides.

Because we know there are 8 sides so 8xn will give us the perimeter.

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3 years ago

Drag the expressions to the table to show whether the product is less than 3/4, greater than 3/4, or equal to 3/4.

KiRa [710]

A fraction 3/4 is called greater than 3/4 if,

Numerator > denominator,

Otherwise it is less than 3/4 ,

$\frac{1}{3} \times \frac{3}{4}=\frac{1}{4}$

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A fraction represents a portion of a total. This entire may refer to a place or a group of places. The Latin word "fraction," which meaning "to break," is the source of the English term "fraction." The distribution of food and supplies as well as the lack of a metal currency were among the mathematical issues that the Egyptians utilized fractions to solve because they were the first civilization to understand fractions.

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To learn more about fraction brainly.com/question/10354322

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7 0

2 years ago

Need answered as fast as possible!

Tems11 [23]

Answer is : 2^(7/6) x^(5/3) y^(1/6)

See attachment file below.
Follow the steps...

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3 0

3 years ago

Can anyone answer this question about angles!

TiliK225 [7]

Isosceles triangle, angle P = angle Q.

3x + 10 = x + 52

2x = 42

x = 21

Congruent angles are both x+52=73 degrees. Triangle angles add to 180 so

y = 180 - 73 - 73 = 34 degrees

Answer: 34

7 0

3 years ago

Suppose that we don't have a formula for g ( x ) g(x) but we know that g ( 1 ) = − 1 g(1)=-1 and g ' ( x ) = √ x 2 + 15 g′(x)=x2

dezoksy [38]

Answer:

g(0.9) ≈ -2.6

g(1.1) ≈ 0.6

For 1.1 the estimation is a bit too high and for 0.9 it is too low.

Step-by-step explanation:

For values of x near 1 we can estimate g(x) with t(x) = g'(1) (x-1) + g(1). Note that g'(1) = 1²+15 = 16, and for values near one g'(x) is increasing because x² is increasing for positive values. This means that the tangent line t(x) will be above the graph of g, and the estimates we will make are a bit too big for values at the right of 1, like 1.1, and they will be too low for values at the left like 0.9.

For 0.9, we estimate

g(0.9) ≈ 16* (-0.1) -1 = -2.6

g(1.1) ≈ 16* 0.1 -1 = 0.6

4 0

3 years ago