Answer:
12 stores
Step-by-step explanation:
180 * 1/15 = 180/15 = 12
Answer:
x = 7.5
y = 14
m<1 = 87°
m<7 = 93°
Step-by-step explanation:
Given:
m<2 = (14x - 12),
m<6 = (5y + 23),
m<8 = (8x + 27)
m<2 + m<8 = 180° (consecutive exterior angles are supplementary)
(14x - 12) + (8x + 27) = 180 (substitution)
Solve for x
14x - 12 + 8x + 27 = 180
Collect like terms
22x + 15 = 180
Subtract 15 from each side
22x = 180 - 15
22x = 165
Divide both sides by 22
x = 7.5
m<2 = m<6 (corresponding angles are congruent)
(14x - 12) = (5y + 23) (substitution)
Plug in the value of x
14(7.5) - 12 = 5y + 23
105 - 12 = 5y + 23
93 = 5y + 23
Subtract 23 from each side
93 - 23 = 5y
70 = 5y
Divide both sides by 5
14 = y
y = 14
✅m<1 = m<8 (alternate exterior angles are congruent)
m<1 = (8x + 27) (substitution)
Plug in the value of x
m<1 = 8(7.5) + 27 = 87°
m<7 = m<2 (alternate exterior angles are congruent)
m<7 = (14x - 12) (substitution)
Plug in the value of x
m<7 = 14(7.5) - 12 = 93°
<em>*100% CORRECT ANSWERS</em>
Question 1
Which type of study best describes the following research most likely to be done?
A researcher is testing out a brand new type of safety suit for fires and is trying to test the maximum threshold of the suit.
Simulation Study
Question 2
Which type of study best describes the following research most likely to be done?
A test is being conducted on a new medicine that is supposed to heal cuts faster. One group is given the actual medicine in a gel type of ointment to apply to the cuts. The second group is given just regular Vaseline that looks like the medicine but has not benefit to put on the cut. The results are then compared.
Experimental Study
Question 3
Which type of study best describes the following research most likely to be done?
A researcher is wanting to research the after effects of plant growth after a nuclear reactor meltdown and decides to study plants within a 50 mile radius of the power plant that had a catastrophic melt down in 2011.
Observational Study
Question 4
Which type of study best describes the following research most likely to be done?
A study is being conducted by an insurance actuary and he wants to determine how often American teen drivers that are on the honor roll get into wrecks.
Sampling
Question 5
Which type of study best describes the following research most likely to be done?
A teacher wants to know how fast all her students for a particular period can complete a multiplication quiz to check their mental math abilities. So, all of her students are tested on a computer and the time of each and every student is recorded.
Census
Answer:
-88x + 10y
Step-by-step explanation:
-5x+3y= -93x+7y=23
we cannot do anything to numbers with unlike signs so we will do this
23=-5x+3y=-93x+7y
now we will take the numbers with like signs to one place like this
23=-5x+93x+3y+7y
now we can solve this
- x + = -
+ x+=+
-x-=-
23= 88x+10y ANSWER
