m5=75 degrees
m11=75 degrees
m16=65 degrees
To find 5, realize angles 5 and 8 equal 180, because they make up a straight line, line d.
180-105=75
To find 11, it is the same as finding 7. Just look at the similar sizes. Angle 7 is the same at angle 5, just turned around. There’s a term for this pair angles that I don’t remember now but it exists. Now, lines a and b are parallel, so their angles between lines that intersect both are the same too. This means, as angle 5 equals angle 7, angle 7 equals angle 11.
To find 16, we use a combination of the methods used in finding the previous angles.
180-115=65 degrees is angle 4
Angle 4=Angle 16
Knowing the two angles given and that lines a and b are parallel, you could find the measurements of every angle in each intersection if you wanted to.
C. 5
Step-by-step explanation:
The coeff of

Is 15.
So by that we can write 3m = 15
m is 5.
Answer:
y = 4x + 14
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x + 7 ← is in slope- intercept form
with slope m = 4
• Parallel lines have equal slopes , then
y = 4x + c ← is the partial equation
to find c substitute (- 3, 2 ) into the partial equation
2 = - 12 + c ⇒ c = 2 + 12 = 14
y = 4x + 14 ← equation of parallel line
128 cm square space is required for 48 seedlings
check
for 1 seedlings= 64÷ 24
= 2.66
for 48 seedlings = 2.66666667× 48 = 128
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The width of the TV is 27.9 inches
Step-by-step explanation:
Given,
Diagonal of TV = 32 inch
Height of TV = 15.7 inch
The diagonal makes the TV into a right triangle,
Therefore,
Diagonal = hypotenuse = c = 32 inch
Height = perpendicular = a = 15.7 inch
Width = base = b
Using pythagoras theorem

Taking square root on both sides

Rounding off to nearest tenth
b = 27.9 inches
The width of the TV is 27.9 inches
Keywords: Pythagoras theorem, square root
Learn more about square root at:
#LearnwithBrainly