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Elden [556K]
3 years ago
8

M is the midpoint of AB. AM = = 4x - 8 MB = 5x-3/3 Find x and AB

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0
X=-7 AB=-72

steps

since m is a midpoint, AM and MB are congruent so you set the two equations equal to each other, 4x-9=5x-3/3( is this a typo? bc 3/3 is 1)
subtract 4x from both sides m, -8=x-1
add 1 to both sides
x=-7

then plug -7 in for x 4(-7)-8=-36
since the two segments are congruent u do -36 x 2= -72
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There are 60 girls and 90 boys in the sixth grade at a middle school. What percent of the sixth graders at this middle school ar
KonstantinChe [14]

Answer:

60%

Step-by-step explanation:

First, find the total number of sixth graders

To do this, add the number of girls and boys together

girls+boys

There are 60 girls and 90 boys

60+90

150

Now, find the percent of sixth graders that are boys

To do this, divide the number of boys by the total number of sixth graders

boys/total sixth graders (part/whole)

There are 90 boys, and 150 total sixth graders

90/150

0.6

Convert to a percent. Multiply by 100 or move the decimal place two spots to the right

0.6*100=60

0.6-->6.0-->60.

So, 60% are boys

3 0
3 years ago
Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16
s344n2d4d5 [400]

Answer:

k=3

Step-by-step explanation:

Let

f(x)=2x^3+18x^2-18x-162

We factor 2 to obtain;

f(x)=2(x^3+9x^2-9x-81)

We factor the polynomial within the parenthesis by grouping.

f(x)=2(x^2(x+9)-9(x+9)

f(x)=2(x^2-9)(x+9)

f(x)=2(x^2-3^2)(x+9)

We apply difference of two squares on the second factor: x^2-3^2=(x-3)(x+3)

f(x)=2(x+3)(x-3)(x+9)

We now compare to;

f(x)=2(x+k)(x-k)(x+9)

It is now obvious that k=3

6 0
3 years ago
Factor the expression using GCF <br> 15w + 65
labwork [276]
That would be  5(3w + 13)

The GCF is 5
5 0
4 years ago
Can someone double check that this is correct? If not please correct me :)
bija089 [108]
Yeah you are correct, also I need brainlest please
7 0
3 years ago
What is the function in the equation f(x)=2x+1
oksano4ka [1.4K]

Answer:

ok

Step-by-step explanation:

6 0
3 years ago
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