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salantis [7]
3 years ago
10

What is the solution set for - 4x + 10 = 5x + 55?

Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

Answer:

x=−5

Step-by-step explanation:

Step 1: Subtract 5x from both sides.

−4x+10−5x=5x+55−5x

−9x+10=55

Step 2: Subtract 10 from both sides.

−9x+10−10=55−10

−9x=45

Step 3: Divide both sides by -9.

−9x

−9

=

45

−9

x=−5

Answer:

x=−5

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pishuonlain [190]

180

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both are 45 degrees.

3 0
3 years ago
Mason Crosby kicked a career long 61 yard field goal. How many feet did the ball travel?
Ksenya-84 [330]

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Step-by-step explanation:

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3 0
3 years ago
SBC is an isosceles triangle with main vertex S.
stira [4]

Answer + Step-by-step explanation:

1) D be the symmetric of B with respect to C then CD = BC

A the symmetric of C with respect to B then AB = BC

We obtain :

CD = BC

AB = BC

Then AB = CD

2) m∠SBA = 180 - SBC = 180 - SCB = m∠SCD

3) we have :

BA = CD

BS = CS

m∠SBA = m∠SCD

Then

the triangles SBA and SCD are congruent

4)

the triangles SBA and SCD are congruent Then SA = SD

Therefore SAD is an isosceles triangle.

4 0
2 years ago
4. Find the sum of all the numbers from 100 to 199 that are not divisible by 13.
Ierofanga [76]

There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have

104 = 8•13

195 = 15•13

so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.

Then the sum we want is

\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell

or equivalently,

(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)

To compute these sums, recall the following formula:

\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2

Then

\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950

and

\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196

which means the sum we want is 14,950 - 1,196 = 13,754.

7 0
2 years ago
The form of the alternative hypothesis can be: A. neither one nor two-tailed B. two-tailed C. one or two-tailed D. one-tailed
Irina-Kira [14]

Answer:

The answer is "Option C"

Step-by-step explanation:

  • It is the hypothesis which would be opposed to just the null hypothesis, that is used in its testing.
  • In this, we generally believed that the results derive from a particular effect with some superimposed variance of chance.
  • It is nothing but an option in contrast to the null and its original test starts by considering its two hypotheses, that's why the only option C is correct.
8 0
3 years ago
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