£4 = 400p. 400p divided by 10 is 40p, which means 40p is the price of one pen. 40p x 7 is the price of 7 pens, which is 280p.
Answer:
x+x+x+x = 4x
5x ≠ x+5
Step-by-step explanation:
x+x+x+x, there are 4 x's, which means they equal to 4x
5x means there are 5 x's, so 5x = x+x+x+x+x, not x+5.
Answer:
∠M = 78º
∠N = 68º
∠P = 34º
Step-by-step explanation:
we know that the inside of a triangle is equal to 180º. we also know that angle p and angle q equal 180º when added together because that's the angle of a straight line. first we need to find angle p.
180 - 146 = 34º
now we can set it up so that all the angles equal 180º when added together.
(5y + 3) + (4y + 8) + 34 = 180
5y + 4y = 9y
9y + 3 + 8 + 34 = 180
3 + 8 + 34 = 45
9y + 45 = 180
-45 -45
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9y = 135
÷9 ÷9
y = 15
now we can plug 15 in for y
(5 x 15 + 3) = 78º
(4 x 15 + 8) = 68º
to double check, add all three angles and make sure they equal 180º
78 + 68 + 34 = 180
Answer: angle Q = 75 degrees
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The tickmarks on segments PR and PQ indicate they are congruent, ie PR = PQ. Because of this, the base angles R and Q (opposite the segments mentioned) are congruent
Angle R = Angle Q
Since angle R is (2x+15) degrees, so is angle Q
Now use the idea that adding three angles of a triangle leads to 180 degrees
P+Q+R = 180
x+(2x+15)+(2x+15) = 180
5x+30 = 180
5x = 180-30
5x = 150
x = 150/5
x = 30
If x = 30, then angle Q is
angle Q = (2x+15) degrees
angle Q = (2*x+15) degrees
angle Q = (2*30+15) degrees
angle Q = (60+15) degrees
angle Q = 75 degrees
