Answer: x= 63, y= 27
Step-by-step explanation:
x and angle measure 117 are a linear pair. They sum to 180.
117+x= 180. Subtract 117 from both sides.
x = 63
Looking at the relationship of x and y, the diagram shows that the two together equal 90 degrees. Add the two together and set equal to 90.
63+y= 90. Subtract 63 from both sides.
y = 27
<span>5-x=12
Subtract 5 from both sides
-x=7
Divide -1 on both sides so that the only thing remaining is x alone
Final Answer: x= -7</span>
Answer:
120 pears
Step-by-step explanation:
Let the number of pears produced by Type B be x
Number of pears produced by type A=144
According to question
Type A produce 20% more pears than B
x+ x ×20%= 144
x+x×
= 144
= 144
=144
x= 144×
x=120 pears
Hence, Number of pears produced by B= 120 pears
Hence, the correct answer is 120 pears
Answer:
<h2>
y = 0.25x + 2</h2>
Step-by-step explanation:

(0, 2) ⇒ x₁ = 0, y₁ = 2
(-4, 1) ⇒ x₂ = -4, y₂ = 1
So the slope:

The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is: y - y₀ = m(x - x₀)
m = 0.25
(0, 2) ⇒ x₀ = 0, y₀ = 2
Therefore:
y - 2 = 0.25(x - 0)
y - 2 = 0.25x {add 2 to both sides}
y = 0.5x + 2 ← the slope-intercept form of the equation
Answer:
26°
Step-by-step explanation:
AC=tan 64
BC=x=sec 64
Using sine rule
(Sin 64)/tan 64 = (sin BAC)/sec 64
Cos 64 = (sin BAC)(cos 64)
Sin BAC= 1
BAC=90
ACB+ 64+90=180
ACB= 26°