Answer:
15°.
Step-by-step explanation:
1. Angles ADC and CDB are supplementary, thus
m∠ADC+m∠CDB=180°.
Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.
2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then
m∠CDB=m∠CBD=65°.
The sum of the measures of interior angles of triangle is 180°, therefore,
m∠CDB+m∠CBD+m∠BCD=180° and
m∠BCD=180°-65°-65°=50°.
3. Triangle ABC is isosceles, with base BC. Then
m∠ABC=m∠ACB.
From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So
m∠ACB=65°.
4. Angles BCD and DCA together form angle ACB. This gives you
m∠ACB=m∠ACD+m∠BCD,
m∠ACD=65°-50°=15°.
Have a good Day!
<span>1/5
This is a matter of elimination. So let's figure out how many of each display there is.
30% of 150 = 0.30 * 150 = 45 displays about electricity.
2/5 * 150 = 0.40 * 150 = 60 displays about renewable energy
1/10 * 150 = 150/10 = 15 displays about gas.
The rest of the displays are about nuclear power. So
150 - 45 - 60 - 15 = 30 displays about nuclear power. Since we want a fraction, we get 30/150
But 30/150 isn't in it's simplest form. The largest number that will evenly divide both 30 and 150 is 30. So divide both the numerator and denominator by 30
(30/30)/(150/30) = 1/5
So 1/5 of the displays are about nuclear power.</span>
So this would be a cubic graph because the largest exponent is a 3.
The Y-intercepts can be found by making all the x's equal 0, so then that would end up being -96 (makes sense considering a cubic graph intercepts at the origin, and this graph moves it down 96 units.
The X-intercepts (the zeros) are a bit tricky. We know that there will likely be three zeros because the exponent is a three. The zeros for this graph are 3, 4, and 8
So in Summary:
This is a Cubic graph with X-intercepts at (3,0), (4,0) and (8,0) and with Y-intercept at (0,-96)
Answer:
Option D is correct.
Explanation:
Commutative Property of Multiplication define that two numbers can be multiplied in any order.
i.e
Distributive property of multiplication states that when a number is multiplied by the sum of two numbers i.e, the first number can be distributed to both of those numbers and multiplied by each of them separately.

Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.
Given:
A = 
B = 
C = 
then;

Using Commutative property of Multiplication we can write
then we have;

Using Distributive property of multiplication;

by using associative property of multiplication ,

Therefore, the reasons for A , B and C in this proof are;
A.commutative property of multiplication
B. distributive property
C. associative property of multiplication