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Sergeu [11.5K]
3 years ago
8

What is the value of a in the equation 3a + b = 54, when b = 9?

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0
3a + b = 54
Substitute b for 9
3a + 9 = 54
Subtract 9 to both sides
3a = 45
Divide 3 to both sides
a = 15
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Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questio
nlexa [21]

The measure of angle ∠ACB is 70°. Then the correct option is C.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

∠ABC + ∠BCA + ∠CAB = 180°

        60° + ∠BCA + 50° = 180°

                           ∠BCA = 180° – 110°

                           ∠BCA = 70°

Then the correct option is C.

The complete question is given below.

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

The measure of ABC is 60

The measure of BAC is 50

The measure of ACB will be

a. 50

b. 60

c. 70

d. 120

More about the triangle link is given below.

brainly.com/question/25813512

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4 0
1 year ago
If a polynomial function f(x) has roots -9 and 7-i, what must be a factor of f(x)
Likurg_2 [28]

Hello from MrBillDoesMath!

Answer:

x + 9 and (x + ( i - 7)) are factors

Discussion:

If f(x) has roots -9 and 7-i then

f(x) = g(x)(x - (-9))  (x - (7-i))            ( g(x) is a polynomial of degree less than f(x))

That is, x + 9 and (x + ( i - 7)) are factors of f(x)

BTW: if the coefficients of f(x) are real (not stated in the Question) then the conjugate of 7-i, i.e. 7 + i, is  also be a root.

Thank you,

MrB

3 0
3 years ago
Read 2 more answers
235+374= use rounding or compatible numbers to estimate the sum
vlada-n [284]
Round to tens: 240 + 370 = 610
round to hundreds: 200 + 400 = 600

hope this helps
7 0
3 years ago
It is a linear equation but i don't know how to set the equation up , need help​
ryzh [129]

Step-by-step explanation:

x = number of novels

y = number of dictionaries

x = 8y

88x + 208y = 13680

now, using the identity of the first equation in the second equation gives us

88(8y) + 208y = 13680

704y + 208y = 13680

912y = 13680

y = 13680/912 = 15

x = 8y = 8×15 = 120

so, there were 120 novels and 15 dictionaries sold.

7 0
2 years ago
B) The elephant
Misha Larkins [42]

Answer:

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2 years ago
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