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jasenka [17]
3 years ago
14

If A={g,y,m,n,a,s,t,i,c} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}, find A′.

Mathematics
1 answer:
victus00 [196]3 years ago
3 0
Is this a free point?
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19. Two angles are supplementary. The measure of one angle is four times the measure of the other angle. Find the measure of eac
Marysya12 [62]

36 and 144

Explanation

Two Angles are Supplementary when they add up to 180 degrees

Step 1

Let

x= angle 1

y= angle2

The measure of one angle is four times the measure of the other angle,then

\begin{gathered} \text{angle}1=4\cdot\text{angle}2\text{    } \\ x=4y\text{   Equation(1)} \end{gathered}

x and y are supplementary angles , then

x+y=180\text{   Equation (2)}

Step 2

use Equation (1) and (2) to find x and y

\begin{gathered} x=4y \\ x+y=180 \end{gathered}

replace Equation (1) in Equation (2)

\begin{gathered} 4y+y=180 \\ 5y=180 \\ y=\frac{180}{5} \\ y=36 \end{gathered}

replace the value of y= 36 in equation (1) to find x

\begin{gathered} x=4y \\ x=4\cdot36 \\ x=144 \end{gathered}

Hence, the answer is 36 and 144

8 0
1 year ago
A right rectangular prism has a volume of 120 in. What is the new volume if the length, width and height are doubled?
hjlf
We don't know what the dimensions are, but any numbers that have a sum of 120 will work. Let's use 3, 4, and 10.

3 x 4 = 12   10 x 12 = 120

But if you double each dimension:

6 x 8 = 48     48 x 20 = 960         To find how much the sums changed:

960 / 120 = 8     

The new volume is 8 times what it originally was! 960 in.
7 0
3 years ago
Vocabulary Review List the five inequality symbols. Help me please
laiz [17]

Answer:

Greater than, less, than, equal to, greater or equal to, less than or equal to

Step-by-step explanation:

7 0
3 years ago
What is an equation of the line that passes through the point (-6, 1) and has a slope of 3?
AlladinOne [14]
Y= mx +b ; x is the slope and y is the y-intercept.

So in this case, our equation will be y= 3x + 19 :) 
8 0
3 years ago
Need help on this please help
kobusy [5.1K]

Answer:

The measure of ∠A is 127°.

Step-by-step explanation:

The interior angles of a triangle always add up to 180°. Since you can fix <em>three</em> triangles into a pentagon, the sum of its interior of angles is 540° You could also look at how many angles there are (5), multiply that number by 180°, then subtract 360° from the product.

540° - (113° + 80° + 130° + 90°) = ∠A

540° - 413° = 127°

∠A = 127°

<em>Hope this helps,</em>

<em>~ Nicki ~</em>

8 0
3 years ago
Read 2 more answers
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