Answer:
The last lines are the final answers, if you need a deeper explanation let me know but I wanted to make sure you understood and got it in time.
Step-by-step explanation:
2(x+4)-3(y+2x)
2x+8-3y-6x
-4x-3y+8
2d+3(4d+2k)-3k
2d+12d+6k-3k
14d+3k
5(4m-2r+7)+4m+3r
20m-10r+35+4m+3r
24m-7r+35
I hope I didn't get anything wrong in a hurry!
<span>You are told that the two angles are supplementary. That means that when you add the measure
of angle A (call it mA) and the measure of angle B (call it mB) the resulting sum is 180 degrees.
This relationship can be written in equation form as:
.
mA + mB = 180
.
You are also told that the two angles are congruent. This means that their measures
are equal. You can write this relationship as the equation:
.
mA = mB
.
From this second equation you can see that wherever you have mA you can substitute mB
in its place because they are equals. So go back to the equation:
.
mA + mB = 180
.
In place of mA substitute mB. This makes the equation become:
.
mB + mB = 180
.
On the left side you can see that the sum is 2 times mB or 2*mB. Make this simplification
to get:
.
2*mB = 180
.
To solve for mB divide both sides of this equation by 2. When you do that division the
equation reduces to:
.
mB = 180/2 = 90
.
This tells you that the measure of angle B is 90 degrees, and that means that the measure
of angle A is also equal to 90 degrees because the two angles are congruent.
I hope this helps!</span>
Answer:
The 95% confidence interval is from 64 to 88
Step-by-step explanation:
The confidence interval has two values.
The lower limit, that is the mean subtracted by the margin of error.
The upper limit, that is the mean added to the margin of error.
So the 95% confidence interval is
76-12 to 76+12 = 64 to 88
A <span>45 45 90 triangle
so a = b
a^2 + b^2 = </span>c^2<span>
a^2 + a^2 </span>= c^2<span>
2a^2 </span>= c^2<span>
2a^2 </span>= 24^2
<span> 2a^2 = 576
a^2 = 288
a = 12</span>√2
b = a = 12√2
<span>
Area of triangle:
= 1/2 (</span>12√2)(12√2)
<span>= 1/2(288)
= 144
answer
Area = 144 ft^2
</span>
