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leonid [27]
3 years ago
6

Can someone please help me with number 16?

Mathematics
1 answer:
shutvik [7]3 years ago
8 0

Answer:

I got 105°

Step-by-step explanation:

Triangle ABC is an isosceles triangle so base angles are equal. <A = 30° (given)

180 - 30 = 150°

150/2 = 75°

the little triangle is also isosceles. the original base angles have been bisected so the base angles are 37.5.

37.5 X 2 = 75°

180-75 = 105°

D = 105°

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Solve the system of equations and choose the correct ordered pair. 
Ksivusya [100]
L.H.S is already equal, so just subtract 1st equation from second, 
2y = 12
y = 6

Now, substitute it in 1st equation, 
2(6) = 4x + 8
4x = 12 - 8
x = 4/4
x = 1

In short, Your Answer would be Option C) (1, 6)

Hope this helps!
3 0
4 years ago
Subtract integers<br><br> 9 - (10)
BartSMP [9]

Step-by-step explanation:

9-(10) = 9-10 = -1

Hope this helps

4 0
3 years ago
if the value of x varies directly as the value of y , and x = 16 when y = 3/4 , what is the value of x when y = 3/8 ?
Olin [163]

Answer:

x=8

Step-by-step explanation:

If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.

If x=16 when y=3/4 we can write their relation as:

x/y = 16/(3/4) = 16*(4/3) = 64/3

So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.

Now we can see what happens to x when y varies. If y=3/8:

x/(3/8) = 64/3

Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.

x/(3/8) * (3/8) = (64/3) * (3/8)

See that we have a 3 multiplying and another dividing, we can eliminate them.

x = 64/8

x = 8

So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.

3 0
3 years ago
Select the correct answer.
alex41 [277]

Answer:

Option B

Step-by-step explanation:

Average rate of change of a function 'f' in the interval x = a and x = b is given by,

Average rate of change of change = \frac{f(b)-f(a)}{b-a}

Given function is,

g(x) = \frac{5}{x-1}+2

We have to calculate the rate of change in the interval [-4, 3],

Average rate of change = \frac{g(3)-g(-4)}{3-(-4)}

g(3) = \frac{5}{3-1}+1

       = 2.5 + 1

       = 3.5

g(-4) = \frac{5}{-4-1}+1

       = -1 + 1

       = 0

Average rate of change = \frac{3.5-0}{3+4}

                                        = \frac{3.5}{7}

                                        = \frac{1}{2}

Therefore, Option B will be the answer.

4 0
3 years ago
the equation 7x-10y=30 is written in standard form. What is the first step when writing an equivalent equation which solves for
Nana76 [90]
You solve for y so then u subtract the 7x from 30 to get 30-7x equals -10 since the -10 has a variable it means u divide by -10 to the subtracting equation to get-3+7/10
4 0
4 years ago
Read 2 more answers
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