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leonid [27]
2 years ago
13

△RQP≅△ONM. Find the value of x. ( I WILL GIVE BRAINLIEST! PLS HELP!) refer to attachment

Mathematics
1 answer:
melisa1 [442]2 years ago
5 0

\\ \sf\longmapsto 3x-5=70

\\ \sf\longmapsto 3x=70+5

\\ \sf\longmapsto 3x=75

\\ \sf\longmapsto x=75/5

\\ \sf\longmapsto x=15

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Please help me with this.
JulijaS [17]

The <em>speed</em> intervals such that the mileage of the vehicle described is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h]

<h3>How to determine the range of speed associate to desired gas mileages</h3>

In this question we have a <em>quadratic</em> function of the <em>gas</em> mileage (g), in miles per gallon, in terms of the <em>vehicle</em> speed (v), in miles per hour. Based on the information given in the statement we must solve for v the following <em>quadratic</em> function:

g = 10 + 0.7 · v - 0.01 · v²      (1)

An effective approach consists in using a <em>graphing</em> tool, in which a <em>horizontal</em> line (g = 20) is applied on the <em>maximum desired</em> mileage such that we can determine the <em>speed</em> intervals. The <em>speed</em> intervals such that the mileage of the vehicle is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h].

To learn more on quadratic functions: brainly.com/question/5975436

#SPJ1

3 0
2 years ago
Solve for x. <br><br> a²x+(a-8)=(a+8)x
Sergio [31]
a^2x+(a-8)=(a+8)x\\\\(a+8)x=a^2x+(a-8)\ \ \ \ |subtract\ a^2x\ from\ both\ sides\\\\(a+8)x-a^2x=a-8\\\\(a+8-a^2)x=a-8\ \ \ \ |divide\ both\ sides\ by\ (a+8-a^2)\\\\\huge\boxed{x=\frac{a-8}{a+8-a^2}}\to\huge\boxed{x=\frac{8-x}{a^2-a-8}}
6 0
2 years ago
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REY [17]
I can’t see can you put it closer
4 0
2 years ago
A lion paced up and down the ridge 10 times. The ridge is 5 ft. 3 in. long. How far did the lion travel? (12 in.=1 ft.)​
Setler79 [48]

Answer:

105 ft.

Step-by-step explanation:

5 x 12 = 60

So 5 feet is 60 inches.

60 + 3 = 63

That makes the ridge 63 inches long.

When the lion went up the ridge, it traveled 63 inches.

When the lion went back down the ridge, it traveled another 63 inches, totaling 126 inches.

The lion did this 10 times.

126 x 10 = 1260

Divide 1260 by 12 to find the measurement in feet.

1260 ÷ 12 = 105

7 0
3 years ago
A segment with endpoints A (2, 1) and C (4, 7) is partitioned by a point B such that AB and BC form a 3:2 ratio. Find B.
sdas [7]

\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(2,1)\qquad C(4,7)\qquad \qquad \stackrel{\textit{ratio from A to C}}{3:2} \\\\\\ \cfrac{A\underline{B}}{\underline{B} C} = \cfrac{3}{2}\implies \cfrac{A}{C} = \cfrac{3}{2}\implies 2A=3C\implies 2(2,1)=3(4,7)\\\\[-0.35em] ~\dotfill\\\\ B=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill

\bf B=\left(\cfrac{(2\cdot 2)+(3\cdot 4)}{3+2}\quad ,\quad \cfrac{(2\cdot 1)+(3\cdot 7)}{3+2}\right)\implies B=\left( \cfrac{4+12}{5}~,~\cfrac{2+21}{5} \right) \\\\\\ B=\left(\cfrac{16}{5}~~,~~\cfrac{23}{5} \right)\implies B=\left( 3\frac{1}{5}~~,~~4\frac{3}{5} \right)

8 0
3 years ago
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