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2 years ago

8) In square HOPE, mH = 5x. Find the value of x.A. 10B. 18C. 70D. 15

Mathematics

1 answer:

Sladkaya [172]2 years ago

8 0

ANSWER

$B.\text{ }18$

EXPLANATION

Let us make a sketch of the square:

Each angle in a square is equal to 90 degrees. This implies that:

$5x=90$

Solve for x by dividing both sides of the equation by 5:

$\begin{gathered} \frac{5x}{5}=\frac{90}{5} \\ \\ x=18 \end{gathered}$

The answer is option B.

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Solve for x and y: Thanks for the help!

sweet-ann [11.9K]

Answer:

x = 2

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Step-by-step explanation:

As the triangle is split with a line that is parallel to the base:

$\implies x:6=6:18$

$\implies \dfrac{x}{6}=\dfrac{6}{18}$

$\implies x=\dfrac{6\cdot 6}{18}$

$\implies x=\dfrac{36}{18}$

$\implies x=2$

Similarly:

$\implies y:20=6 : (6+x)$

$\implies y:20=6:8$

$\implies \dfrac{y}{20}=\dfrac68$

$\implies y=\dfrac{6 \cdot 20}{8}$

$\implies y=\dfrac{120}{8}$

$\implies y=15$

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3 years ago

Read 2 more answers

How much does a customer save for buying a sound system marked $1,200 at a discount of 15%

kramer

Answer:

Step-by-step explanation:

Mp=$1200

Let sp be x

SP=MP-discount% of MP

x=1200-15/100 * 1200

x=120000-18000/100

x=102000/100

x=1020

the amount of money person saves=MP-SP

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3 years ago

-x + 3 = 7 X=-4 X= 7 X= 4 X = -7

vladimir2022 [97]

Answer:

x = -4

Step-by-step explanation:

Step 1: Write equation

-x + 3 = 7

Step 2: Solve for x

Subtract 3 on both sides: -x = 4
Divide both sides by -1: x = -4

Step 3: Check

Plug in x to verify it's a solution.

-(-4) + 3 = 7

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7 = 7

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3 years ago

(8 x 104) (4.5x 10-1) =

Rashid [163]

$\tt{}(8 \times 104)(4.5 \times 10 - 1)$

$\tt{}(832)(45 - 1)$

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$\tt{}832 \times 44$

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3 years ago

In a class of 25 students, 24 of them took an exam in class and 1 student took a make-up exam the following day. The professor g

gavmur [86]

Answer:

The value is $\mu_n = 73.6$

Step-by-step explanation:

From the question we are told that

The total number of students is $N = 25$

The number of student that took exam in class is n = 24

The number that took make up exam is k = 1

The average score of the first 24 students is $\mu = 74$

The standard deviation is $\sigma = 8.9$

The average score of the student who took make up test is $\= x = 64$

Generally the new average is mathematically represented as

$\mu_n = \frac{( n * \mu ) + \= x }{N}$

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$\mu_n = 73.6$

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3 years ago