Answer:
x = 88
Step-by-step explanation:
The sum of the angles in a triangle add to 180
47+45 +x = 180
Combine like terms
92+x = 180
Subtract 92 from each side
92+x-92= 180-92
x =88
Answer:
I think it is 38 centimeters.
Step-by-step explanation:
Answer:
(-7/8)
Step-by-step explanation:
the line is -7x -8y =12
its slope = -(-7/-8)= -7/8
it passes through P(-3, 1)
(y-1)=(-7/8)(x+3)
y-1 = (-7/8)x - 21/8
y = (-7/8)x -13/8
Answer:
70°
Step-by-step explanation:
∠A =112°,
Exterior angle to angle B is 2x, therefore ∠B = 180 -2x (angle on straight line)
Exterior angle to angle C is 2x + 12, therefore ∠C = 180 -(2x +12) (angle on straight line) = 180 - 12 -2x = 168 - 2x
∠A + ∠B + ∠C = 180 (sum o angles in a triangle)
112 + 180 - 2x + 168 - 2x = 180
460 - 4x = 180
4x = 460 - 180 = 280
x = 280/4 = 70
x = 70°
Answer:
(a) 60 cups
(b) 5 cookies, 8 muffins and 4 cupcakes in each container
Step-by-step explanation:
Given
Let:
So:
Solving (a): The greatest number of containers to be used;
To do this, we first reduce the ratio to the lowest
C : M : K = 300 : 480 : 240
Divide by 60
<em>The ratio cannot be further reduced. Hence, he will use 60 cups</em>
Solving (b): The number in each cup
In (a), we have:
This means that;
<em />
<em> --- Cookies</em>
<em />
<em> --- Muffins</em>
<em />
<em> -- - Cupcakes</em>
