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2 years ago

Find the value of x in the isosceles triangle shown below

Mathematics

1 answer:

melisa1 [442]2 years ago

5 0

Answer:

22.18 = x

Step-by-step explanation:

a^2 + (b)^2 = (x/2)^2

a = sqrt(74)

b = 7

x/2 = ?

(74)[^1/2]^2 = 74

b^2 = 7^2 = 49

74 + 49 = (x/2)^2 Substitute into a^2 + b^2 = c^2

123 = (x/2)^2 Combine like terms

(123^0.5) = x/2 Take the square root of both sides.

11.09 = x/2 Multiply both sides by 2

11.09*2 = x

22.18 = x The full length of the base of the triangle is 22.18

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Cost of a comic book: 3.95<br> Markup: 20%

Ghella [55]

The cost would be $4.74. 3.95 times 0.2 is 0.79. Add that to 3.95 and get 4.47

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3 years ago

What’s the answer ?? The triangle says 84 degrees

myrzilka [38]

Answer:

x = 48°

Step-by-step explanation:

x + x + 84° = 180°

2x = 180° - 84°

2x = 96°

x = 96°/2

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2 years ago

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Simplify the expression: –3(–7 + 3z)

aleksandrvk [35]

Hey there! I'm happy to help!

We want to multiply each term inside the parentheses by the number on the outside.

-3(-7)=21

-3(3z)=-9z

Therefore, our expression is 21-9z.

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3 years ago

Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2

Nana76 [90]

Answer: $k=18\dfrac{8}{11}$ .

Step-by-step explanation:

If a line passing through two points, then

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN $=\dfrac{1-0}{5-0}=\dfrac{1}{5}$

The endpoints of segment AB have coordinates $\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)$ and $\left(-2\dfrac{1}{4} , k\right)$ .

$A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)$

$B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)$ .

Slope of AB $=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}$

$=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}$

$=\dfrac{4k-9}{4}\times \dfrac{44}{-145}$

$=4k-9\times \dfrac{11}{-145}$

$=\dfrac{44k-99}{-145}$

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

$\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1$

$\dfrac{44k-99}{-725}=-1$

$44k-99=725$

$44k=725+99$

$k=\dfrac{824}{44}$

$k=\dfrac{206}{11}$

$k=18\dfrac{8}{11}$

Therefore, the value of k is $k=18\dfrac{8}{11}$ .

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2 years ago

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Find the value of x in the isosceles triangle shown below​

Find the value of x in the isosceles triangle shown below