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Elina [12.6K]
3 years ago
6

10. What is the measure of angle C? A. 25° B. 30° C. 60° D. 75°

Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

D

Step-by-step explanation:

x + 5 + 3x + C = 180                All triangles have 180 degrees.

4x + 5 + C = 180

But C must be equal to 3x. Notice the markings on the lets of the triangle.

4x + 5 + 3x = 180

7x + 5 = 180                          Subtract 5 from both sides

7x = 180 - 5

7x = 175

x = 25

But angle C = 3x

C = 3*25

C = 75

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-1/2(-3y+10) i need help combining like terms to create a equivelent expression
Vaselesa [24]

Answer:

1.5y - 5

Step-by-step explanation:

I used the distributive approach and distributed -1/2 to the -3y and 10.

(If you try this and it's incorrect, you may just need to distribute -1/2 to the 10, creating -3y - 5.)

6 0
2 years ago
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE
Viktor [21]

Answer:

<h2> (2, -1)</h2>

Step-by-step explanation:

Given the function f(x) = 8x³ − 12x² − 48x, <em>the critical point of the function occurs at its turning point i,e at f'(x) = 0</em>

First we have to differentiate the function as shown;

f'(x)= 3(8)x^{3-1}- 2(12)x^{2-1} - 48x^{1-1}\\  \\f'(x) = 24x^2 - 24x-48x^0\\\\f'(x) = 24x^2 - 24x-48\\\\At \ the\turning\ point\ f'(x)= 0\\24x^2 - 24x-48 = 0\\\\\\

Dividing \ through \ by \ 24\\\\x^2-x-2 = 0\\\\On \ factorizing\\\\x^2-2x+x-2 = 0\\\\x(x-2)+1(x-2) = 0\\\\(x-2)(x+1) = 0\\\\x-2 = 0 \ and \ x+1 = 0\\\\x = 2 \ and \ -1

Hence the critical numbers of the function are (2, -1)

8 0
3 years ago
How many days will it take for a sum of $4,000 to earn $80 interest if it is deposited in a bank paying ordinary simple interest
Maksim231197 [3]

Answer:

It will take 146 days to earn an interest of $80.

Step-by-step explanation:

The simple interest formula is:

I=\frac{P\times r\times t}{100}

It is provided that:

I = $80

P = $4,000

r = 5% p.a.

Compute the time required as follows:

I=\frac{P\times r\times t}{100}

t=\frac{I\times 100}{P\times r}

  =\frac{80\times 100}{4000\times 5}\\\\=0.4\ \years\\\\=0.4\times 365\ days\\\\=146\ days

Thus, it will take 146 days to earn an interest of $80.

4 0
2 years ago
Find the value of G<br><br> -6g+36=12
Levart [38]
-6g + 36 = 12
36 = 12 + 6g
24 = 6g
4 = g

g = 4
4 0
3 years ago
Find the product of −2 1/4 and 2 1/2. enter answer as a mixed number in simplest form.
const2013 [10]
Umm kid u forgot to put in like -, +, or x, or at least /
but here are the answers, if its addition the answer is 1/4, if its subtraction answer is -19/4 but if u simplify it to mixed fraction answer would be -4 3/4, if its multiplication answer would be -45/8 but simplify that and it would be -5 5/8, if its division answer would be -9/10 hope this helps
8 0
2 years ago
Read 2 more answers
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