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Nitella [24]
3 years ago
10

I’m struggling. Sorry. Any help is appreciated

Mathematics
2 answers:
AfilCa [17]3 years ago
8 0

Answer:

x = 20

Step-by-step explanation:

The 2 angles are vertical and congruent, thus

10x - 27 = 8x + 13 ( subtract 8x from both sides )

2x - 27 = 13 ( add 27 to both sides )

2x = 40 ( divide both sides by 2 )

x = 20

avanturin [10]3 years ago
4 0

Answer:

(8x+13)=(10x-27) being vertically opposite triangles.

Now take the 8 to the next side and minus it by 10x which means 10x-8x, the answer is 2x

Then, do with 27 and 13 also and whatever the answer comes it will be divided by 2, so that is the value of x

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If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
A truck can travel 1200 miles on 80 gallons of gasoline. how far can it travel on 240 gallons of gasoline ? Show your work
pogonyaev

Answer:

3600 miles on 240 gal

Step-by-step explanation:

80 gal can go 1200

160 gal can go 2400

240 gal can go 3600

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2 years ago
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How can data be represented?​
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Data can be represented in tables, charts, and graphs.

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3 years ago
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Consider this Venn diagram of the prime factors of 210 and 330. Which is the least common multiple of these two numbers?
Mrrafil [7]
The least common multiple of these two numbers is 2310. Hope this helps
5 0
4 years ago
The roof rafter of a house has been raised to a height of 13 yards at the ridge. Half of the length of the run measures 9 yards.
dimulka [17.4K]

Answer:

15.81 = ?

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

9^2 + 13^2 = ?^2

81 +169 = ?^2

250 = ?^2

Taking the square root of each side

sqrt(250) =?

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To the nearest 100th

15.81 = ?

3 0
3 years ago
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