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3 years ago

How do i solve this step by step??

Mathematics

1 answer:

Levart [38]3 years ago

3 0

Answer:

x = 30

Step-by-step explanation:

well the two agnles are congruent so they have to equal the same angle

x+ 90 = 4x

solve for x bye subtracting x from 90

90 = 3x slove by dividing 90 by 3 getting x alone

90/3 = x

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i have two questions. Is y= (4 2/3) x proportonal? and is y= 3(x - 1) proportional? If it’s proportional, what’s the constant va

Dmitrij [34]

$\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y = 4\frac{2}{3}x\qquad \qquad yes\qquad \checkmark\qquad \qquad k = 4\frac{2}{3} \\\\[-0.35em] ~\dotfill\\\\ y=3(x-1)\implies \stackrel{\textit{distributing}}{y=3x-3}\qquad \qquad yes\qquad \checkmark \qquad \qquad k=3$

bear in mind that, direct proportional equations have a y-intercept.

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7 0

3 years ago

An investment earn 6% simple interest. What amount of principal is need to have $3000 after 5 years

irakobra [83]

Answer:

The amount of $1000 principal is needed to have $3000 after 5 years.

Step-by-step explanation:

As the interest formula is

$I=Prt$

Where

P is the principle

r is the rate in decimal

t is the time in years

Substituting the following values in the interest formula and solve for P

I=$3000

r = 6% = 6/100 = $0.06$

t = 5

so the equation becomes

$I=Prt$

$3000=P\left(0.06\right)\left(5\right)$

switch both sides

$P\left(0.06\right)\left(5\right)=3000$

$P\left(0.3\right)=3000$

$P=10000$ $

Therefore, the amount of $1000 principal is needed to have $3000 after 5 years.

6 0

3 years ago

1) y = 2x – 17<br> -3x – y=-13

scoray [572]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=2x-17&\text{subtract}\ 2x\ \text{from both sides}\\-3x-y=-13\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-2x+y=-17\\-3x-y=-13\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-5x=-30\qquad\text{divide both sides by (-5)}\\.\qquad\boxed{x=6}\\\\\\\text{Substitute the value of x to the first equation}\\\\y=2(6)-17\\y=12-17\\\boxed{y=-5}$

8 0

3 years ago

Find the prime factors of 24 please hurry??!!!

Alex777 [14]

Answer:

So, the prime factorisation of 24 are 2 × 2 × 2 × 3 or 23 × 3, where 2 and 3 are the prime numbers.

Step-by-step explanation:

Hope it helps!

8 0

3 years ago

Mrs. Harris divided up her leftover Halloween candy to her three children. If each child received 9 pieces of candy, how many pi

Dennis_Churaev [7]

The answer is 27 I think

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3 years ago