Answer:
$33.60
Step-by-step explanation:
First we take 80% of $40.
1. $40 * 0.80 = $32
Next we take 105% of $32.
2. $32 * 1.05 = $33.60
Answer:
5.5
Step-by-step explanation:
Of means multiply
13.75 * 2/5
27.5/5
5.5
Given:
∠PRS and ∠VUW are supplementary.
To prove:
Line TV || Line QS
Solution:
Step 1: Given
∠PRS and ∠VUW are supplementary.
Step 2: By the definition of supplementary angles
![m\angle {PRS}+m\angle {VUW}=180^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20%7BPRS%7D%2Bm%5Cangle%20%7BVUW%7D%3D180%5E%7B%5Ccirc%7D)
Step 3: Angles forming a linear pair sum to 180°
![m\angle {PRS}+m\angle {SRU}=180^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20%7BPRS%7D%2Bm%5Cangle%20%7BSRU%7D%3D180%5E%7B%5Ccirc%7D)
Step 4: By transitive property of equality
step 2 = step 3
![m\angle {PRS}+m\angle {VUW}=m\angle {PRS}+m\angle {SRU}](https://tex.z-dn.net/?f=m%5Cangle%20%7BPRS%7D%2Bm%5Cangle%20%7BVUW%7D%3Dm%5Cangle%20%7BPRS%7D%2Bm%5Cangle%20%7BSRU%7D)
Step 5: By algebra cancel the common terms in both side.
![{m} \angle {VUW}={m} \angle{SRU}](https://tex.z-dn.net/?f=%7Bm%7D%20%5Cangle%20%7BVUW%7D%3D%7Bm%7D%20%5Cangle%7BSRU%7D)
Step 6: By converse of corresponding angles postulate
Line TV || Line QS
Hence proved.
<span>
Question 2.2. Which ordered pairs make the inequality true?</span><span>2x + y > –4</span>The solutions are (-1, 2) and (1, -5), look at the graph in the attachment.
Question 3.3. What is the slope of the line represented by the equation?There is no equation
Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?Convert to slope-intercept form:
6x - 3y = 4
Subtract 6x to both sides:
-3y = -6x + 4
Divide -3 to both sides:
y = -6/-3x + 4/-3
Simplify:
y = 2x - 4/3
Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.
Question 5.5. What is the simplified form of the expression?15y - 3(4y + 10)
Distribute -3 into the parenthesis:
15y - 12y - 30
Combine like terms:
3y - 30
Answer:
the equation would be f(x)= -9x+3 or y=-9x+3
Step-by-step explanation: