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3 years ago

Given m n, find the value of x and y. m yo (8x+12) (3x-8)

Mathematics

1 answer:

vova2212 [387]3 years ago

4 0

Answer:

x = 16, y = 140

Step-by-step explanation:

(8x + 12)° and (3x - 8) are adjacent angles and are supplementary, sum to 180°

8x + 12 + 3x - 8 = 180

11x + 4 = 180 ( subtract 4 from both sides )

11x = 176 ( divide both sides by 11 )

x = 16

Then

8x + 12 = 8(16) + 12 = 128 + 12 = 140

(8x + 12) and y are alternate angles and are congruent , so

y = 140

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An obtuse triangle has two angles 45 n 18 ,and a third unknown angle theta what's the value of the unknown angle

zlopas [31]

Answer:

An obtuse triangle has two angles 45 and 18. The value of the unknown angle is $117^{\circ}$

Solution:

Given that two angles of an obtuse triangle is 45 and 18.

Third angle is θ

We are asked to find the value of third unknown angle theta

According to angle sum property of triangle, sum of three angles of triangle is $180^{\circ}$

This means in our case sum of 45, 18 and θ should be $180^{\circ}$

$\begin{array}{l}{=>45+18+\theta=180} \\ {=>\theta=180-63=117^{\circ}}\end{array}$

Hence value of unknown third angle of an obtuse triangle is $117^{\circ}$

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3 years ago

Maria can read 20 pages of economics in an hour. She can also read 50 pages of sociology in a hour. She...? Maria can read 20 pa

denis-greek [22]

B.) Marua will spend 2 hours to read 100 pages of sociology which means she can only read 60 pages of economics.
Therefore, the opportunity cost of reading 100 pages of sociology is forfeiting 40 pages (2 hours) of economics.

8 0

3 years ago

A function is given. h(t) = t2 + 3t; t = −1, t = 2

Arlecino [84]

Answer:

(a) The net change of the function is 12.

(b) The average rate of change of the function 4.

Step-by-step explanation:

The average rate of change of function $f(x)$ over the interval $a\leq x\leq b$ is given by this expression:

average rate of change = $\frac{net \:change \:in \:y}{change \:in \:x} = \frac{f(b)-f(a)}{b-a}$

It is a measure of how much the function changed per unit, on average, over that interval.

Given:

$h(t)=t^2+3t\\\\t=-1\\t=2$

(a) To find the net change of the function, first we calculate the values of $h(2)$ and $h(-1)$

$h(-1)=(-1)^2+3(-1)=-2\\\\h(2)=(2)^2+3(2)=10$

The net change is simply the difference

$h(2)-h(-1)=10-(-2)=12$

(b) The average rate of change takes the net change and divides it by the change in the $t$ value.

$\frac{12}{2-(-1)} =\frac{12}{3}=4$

5 0

3 years ago

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Help! answer choices a)-16/3 b)-2 c)2 d)16/3

LiRa [457]

Answer: c

Step-by-step explanation:

3 0

2 years ago

(Too lazy to work it out) Simplify 7 + (−3). A.) -10 B.) -4 C.) 4 D.) 10

frozen [14]

Hi!

7 + (-3) = 7 - 3 = 4

The correct answer is C.) 4.

Hope this helps!

7 0

3 years ago

Read 2 more answers