Answer: C. ∠SQP and ∠TQR
Step-by-step explanation:
Since, by the given diagram,
m∠TQR = m∠SQP (vertical angles)
And, m∠TQP < m∠TQR
By adding ∠TQR on both sides,
m∠TQP + m∠TQR < m∠TQR+m∠TQR
⇒m∠TQP + m∠TQR < 2 ∠TQR
⇒ 180° < 2 m∠TQR ( Because ∠TQP and ∠TQR are linear angles)
⇒ 90° < m∠TQR
Hence ∠TQR is a obtuse angle,
⇒ ∠SQP also is a obtuse angle.
Answer: C. 5/6
Steps:
Use the formula x1-x2/y1-y2 to find the slope
(5,11), (-5,-1)
-5-5/-1-11
= -10/-12
=5/6
In this equation, we're trying to find if she has enough money to buy a $12 movie ticket.
We know that she buys a bag for $45.50, with a 5% tax rate. Let's calculate the total cost of the bag after tax.
45.50 · 1.05 = 47.775
Round to the nearest hundredths place
$47.78
She spent $47.78 on the bag.
She has $60, so calculate how much money she has left.
60 - 47.78 = 12.22
She has $12.22 left to spend.
This means that she has enough money to buy the movie ticket.
She would also have 22 cents left to spare.
Answer:
Yes, she has enough money to buy the movie ticket
Noting graphed. Pls graph it
x≤-7
First , use the distributive property :
3(x-4)≥5x+2
3x-12≥5x+2
Subtract 5x on both sides :
3x-5x-12≥2
Now , add 12 on both sides :
3x-5x≥2+12
3x-5x≥14
Subtract the x's :
-2x≥14
Divide by -2 on both sides and watch what happens :
x≤-7 (notice that the inequality sign changed from "greater than or equal to" to "less than or equal to")
If we divide both sides of an inequality by a negative number , we change the inequality sign .
