Answer:
216 miles
Step-by-step explanation:
Let's set up a proportion using the following setup.
miles/gallons=miles/gallons
We know the car can travel 156 miles on 13 gallons. We don't know how many miles the car can travel on 18 gallons, so we can say the car can travel x miles on 18 gallons.
156 miles/13 gallons=x miles/18 gallons
156/13=x/18
We want to find out what x is. Therefore, we have to get x by itself. x is being divided by 18. The inverse of division is multiplication, so we can multiply both sides by 18.
18*156/13=x/18*18
18*156/13=x
18*12=x
216=x
x=216 miles
The car can travel 216 miles on 18 gallons of gas.
Answer: 3
Explanation:
x^2 + 6x + 9
= (x + 3)^2
We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.
∠WYX and ∠WYZ are complementary.
We know, sum of complementary angles is = 90°.
So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.
m∠WYX + m∠WYZ = 90°.
Plugging values of ∠WYX and ∠WYZ in the above equation, we get
(2x−1)° + (4x+1)° = 90°.
Removing parentheses from both sides,
2x-1 + 4x+1 =90.
Combining like terms,
2x+4x= 6x and -1+1 =0
6x +0 =90.
6x=90.
Dividing both sides by 6.
6x/6 =90/6
x= 15.
Plugging value of x=15.
m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29
m∠WYZ=(4x+1)° = 4*15 +1 = 60+1 = 61.
Therefore, ∠WYX=29° and ∠WYZ=61°.
So one dot you could make is at -1 on the y axis because your y intercept (the -1 in y=3/4x-1). Another dot you could make if you follow the slope is a point up three and over 4 (slope is rise over run).
Picture explanation:
Hope this helps!
Answer:
Step-by-step explanation:
another way to express 52+24 is 4(13+6)