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
12. x= 4
13. x= 4
14. x= -1
Check the steps in the picture above
Answer:
$725.95
Step-by-step explanation:
First, calculate how much she paid for the 5 pallets
Each pallet costs 129.95, and she paid for 5, so we can multiply the 2 numbers
129.95*5=649.75
Then, add the delivery cost
649.75+76.20=725.95
So the total amount she paid is $725.95
Hope this helps! :)
Answer:
If both dimensions are being multiplied by three than the area will be 9 times the original.
If only one side is being multiplied by tree, the area will be 3 times the original
Let red marbles be x.
Blue : 2x
Red : x
Yellow : x+8
2x + x + x + 8 = 56
4x = 48
x = 12
Red marbles: 12
Blue : 24
Yellow: 20
