Answer:
PQ = 
Step-by-step explanation:
given MQR = 60, PQR = 75
MQP = 75 -60= 15
WE KNOW THAT MQR +QRM +QMR = 180
MPQ = MQP AS ANGLE OPPOSITE TO EQUAL SIDES ARE EQUAL
THEREFORE QMR = 90 - 60 = 30
therefore PQM = 75 - 60 = 15
PM = PQ because M is the mid point
therefore PR = PM + 
PR = 
PQ =
It would be 4.0
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Answer:
y= -3x-16
Step-by-step explanation:
slope intercept form is written as y=mx+b. m is the slope, and b is the y-intercept. -3=m
we know that (-5,-1) is 5 points away from the origin, and that the slope is -3, so 5 times -3 equals -15. subtract 15 from -1 (y-coordinate) in order to get the y-intercept (when x=0).
<em><u>Answer: x=-2 *The answer should be the negative sign.*</u></em>
Step-by-step explanation:
distributive property: a(b+c)=ab+ac
remove parenthesis
-15x-15*4=-30
15*4=60
-15x-60=-30
add 60 both sides of an equation.
-15x-60+60=-30+60
simplify.
-15x=30
divide by -15 both sides of an equation.
-15x/-15=30/-15
simplify.
30/15=2
x=-2
Hope this helps!
Thanks!
Have a great day!
Answer:
95 degrees
Step-by-step explanation:
since angles 1 and 4 are vertical angles, they are congruent
3x+10=4x-15
3x-4x=-15-10
-x=-25
x=25
x=25 degrees
angles 4 and 7 are supplementary due to them being alternate exterior angles
lets find the measure of angle 4:
4x-15
4*25-15
100-15
85 degrees
Now, lets find the angle measure of angle 7:
85+x=180
x=180-85
x=95
So, the angle measure of angle 7 is 95 degrees
