11) Since the triangle has a pair of congruent base angles, it is an isosceles triangle which means that the two pairs of legs are congruent.
Make them equal to each other in an equation.
5x = x + 20
Subtract x from both sides.
4x = 20
Divide both sides by 4.
x = 5
12) The two legs are congruent so that means the base angles must be congruent. First find the measure of the base angles. Create an equation:
x + x + 50 = 180
Combine like terms.
2x + 50 = 180
Subtract 50 from both sides.
2x = 130
Divide both sides by 2.
x = 65
Now make the base angle plus x equal 180, because they form a straight line.
65 + x = 180
Subtract 65 from both sides.
x = 115
13) You know the vertex angle (top angle) is 90 degrees because it is supplementary to a right angle. The triangle is isosceles because the two legs are congruent, so make the base angles plus 90 add up to 180 in an equation.
x + x + 90 = 180
Combine like terms.
2x + 90 = 180
Subtract 90 from both sides.
2x = 90
Divide both sides by 2.
x = 45
Answer:
i think it will be 20 unit diatance .
Answer:
5 cups
Step-by-step explanation:
There are 8 ounces in a cup, so the ratio given is ...
5/8 cup : 1 gallon
Multiplying this by 8, we have ...
5 cups : 8 gallons
If you are using 8 gallons of water, you need 5 cups of mix.
Answer:
$817.60
Step-by-step explanation:
Simple interest has the formula:
Simple Interest = Principal * rate * time
here,
Principal amount is $730
The rate of interest is 3%, which is 3/100 = 0.03
The time length in years is given as 4
We find the interest amount first:
SI = P * r * t
SI = 730 * 0.03 * 4
SI = 87.6
We are asked to find FINAL BALANCE, which is PRINCIPAL + INTEREST
So,
Final Balance = 730 + 87.6 = $817.60
C is the cost of groceries.
if there is 5% discount, then the current price = 100% - 5% = 95%
= 95% of c
= (95/100) * c
= 0.95c
