Answer:
x = 9.25
Step-by-step explanation:
It is given that ABC is an isosceles triangle.
m∠A = 43° and m∠C = (6x+13)°
We need to find the value of x.
The sum of a triangle is equal to 180°.
∠A is the vertex angle. For a triangle sum of angle of triangle is equal to 180°
∠A+∠B +∠C=180
43+∠B+(6x+13)°=180
6x+∠B+56=180
6x+∠B = 124
∠B =124-6x
For an isosceles triangle,
∠B = ∠C
124-6x = (6x+13)
124-13 = 6x+6x
111 = 12x
x = 9.25
So, the value of x is 9.25.
Answer:
The adjacent angles are: 72 and 108
Step-by-step explanation:
Given
Angle Ratio = 3 : 2
Required
Find the measure of each angle
Let the angles be 
Such that:
--- adjacent angles of a parallelogram
and
--- given
Convert to fraction
Cross Multiply:
Make x the subject:
becomes
Take LCM
Recall that:
<em>Hence, the adjacent angles are: 72 and 108</em>
It's 28 5/7. 10 +18 and 2/7 + 3/7
Answer:
64 pies sold
Step-by-step explanation:
x = number of cakes sold
y = number of pies sold
Last weekend the bakery sold 118 total items
x + y = 118
Last weekend the bakery earned $1,932.
18x + 15y = 1,932.
Get rid of one of the terms, in this case x.
x + y = 118 becomes
18x + 18y = 2124
Subtract the equations from each other
(18x - 18x) + (18y - 15y) = 2124 - 1932
3y = 192
y = 64
Subsititue y into the orginal qeuation to solve for x and check it's right.
x + 64 = 118
x = 118 - 64 = 54
18(54) + 15(64) = 1932
-24 - I didn’t explain it in words, but the step by step is in the image!
