Answer:
Angle CAD is 44 degrees
Angle ACD is 44 degrees
Angle ACB is 136 degrees
Angle ABC is 22 degrees
Explanation:
29. Triangle ADC is an isosceles triangle because it has two equal sides.
If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.
Let x be angle CAD.
Let's go ahead x;
Therefore, measure of angle CAD is 44 degrees.
30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)
31. Let angle ACB be y,
Let's go ahead and find measure of angle ACB;
So measure of angle ACB is 136 degrees.
32. Let angle ABC be z.
Triangle ACB is also an isosceles triangle so the base angles are the same.
Let's go ahead and find z;
So measure of angle ABC is 22 degrees.
Answer:
x = 14.5 y = 1
Step-by-step explanation:
get the x alone by subtracting 5y from both sides
10x + 5y = 150
- 5y -5y
10x = -5y + 150
divide both sides by 10
<u>10x</u> = <u>-5y + 150</u>
10 10
x = -0.5y + 15
Now that we've solved for x, we can plug it into the original equation
10 (-0.5y + 15) + 5y = 150
now we solve for y the same way we did x
first distribute 10 into (-0.5y + 15)
-5 + 150 +5y = 150
now we get the y alone
-5 + 150 + 5y = 150
+5 -150 -150 +5
5y = 5
now divide by 5
<u>5y</u> = <u>5</u>
5 5
y = 1
now that we have both x and y, we plug y into our solution for x
x = -0.5y + 15
x = -0.5(1) + 15
x= -0.5 + 15
x = 14.5
Answer:
I'm pretty sure the answer to the third question is C
Step-by-step explanation:
We are solving for h(g(x)).
We already know that g(x) is equal to x^2+4.
So know, we can simplify our expression, h(g(x)), to h(x^2+4).
We also know that h(x)=1/x
we simply substitute x for x^2+4, giving us an answer of 1/(x^2+4)
The answer is d
Hope this helps
