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3 years ago

76 is 80℅ of what number

Mathematics

2 answers:

Lynna [10]3 years ago

4 0

Lets use a rule of three, simple, with direct proportion to find that number, we write the data of the problem as a rule of three like so taking into account that we are looking the 100% of an unknown number:
80% ----> 76
100% ----> x
x = (100)(76)/80
x = 95
therefore, we find that 76 is the 80% of 95

Luda [366]3 years ago

4 0

We use the formula is/of=%/100. so 76/x=80/100 then cross multiply. 76×100=7600. 7600÷80=95.

so 76/95=80%/100

76 is 80% of 95

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Triangle DEF is congruent to right triangle GHI with a right angle at vertex H. If the slope of DE is –2, what must be true?

Marianna [84]

Question:

Triangle DEF is congruent to right triangle GHI with a right angle at vertex H. If the slope of DE is –2, what must be true?

A. The slope of HI is 1/2.

B. The slope of EF is 1/2.

C. The slope of GH is –2.

C. The slope of DF is –2.

Answer:

The slope of HI is 1/2

The slope of EF is 1/2

Solution:

Given that,

Triangle DEF is congruent to right triangle GHI

Which means,

These pairs of angles are congruent

{D, G}, {E, H}, and {F, I}

In triangle DEF, E is a right angle

This means that the line segments $\overline{DE}\ and\ \overline{EF}$ are perpendicular.

We know that,

Product of slope of a line and slope of line perpendicular to that line is equal to -1

Given that,

Slope of DE = -2

$\text{ Slope of DE } \times \text{ slope of EF} = -1\\\\-2 \times \text{ slope of EF} = -1\\\\\text{ slope of EF} = \frac{1}{2}$

Since the sides EF and HI are congruent,

Slopes of parallel lines are equal

$Slope\ of\ HI\ = \frac{1}{2}$

Thus, Slope of HI is 1/2

3 0

3 years ago

Read 2 more answers

Given the equation W=CE2/2, solve for C

irina1246 [14]

W=CE^2/2
CE^2 = 2W
C = 2W/E^2 Answer

6 0

3 years ago

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Solve pls brainliest

Maksim231197 [3]

Answer:

324 gallons, 3 fish a day

Step-by-step explanation:

54 x 6

24/8

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2 years ago

Find the inverse of the function

lozanna [386]

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

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$\left( \cfrac{x+1}{6} \right)^3=2y+5\implies \left( \cfrac{x+1}{6} \right)^3-5=2y\implies \cfrac{\left( \frac{x+1}{6} \right)^3-5}{2}=y \\\\\\ \cfrac{\left( \frac{x+1}{6} \right)^3}{2}-\cfrac{5}{2}=y\implies \cfrac{~~ \frac{(x+1)^3}{6^3}~~}{2}-\cfrac{5}{2}=y\implies \cfrac{(x+1)^3}{432}-\cfrac{5}{2}=\stackrel{y}{h^{-1}(x)}$

4 0

2 years ago

The length of a rectangular garden is 6 feet less than 3 times its width. the area is 360 square feet. what is the length of the

aleksandr82 [10.1K]

$l = 3w-6
\\A = l*w
\\A = (3w-6)(w)
\\360 = (3w-6)(w)
\\ 360 = 3w^2 - 6w
\\ 0 = 3w^2-6w-360
\\ 3(w^2-2w-120) = 0
\\ 3(w+10)(w-12) = 0
\\ w = 12 
\\ 12*3 = 36 -6 = 30
\\ l = 30$

6 0

4 years ago