The GCF of 20x^4 and 6x^3 would be " 2x^3 "
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:
x=76 degrees
Step-by-step explanation:
< dij + < jih = 180 straight line
< dij + 107 = 180
subtract 107 from each side
< dij = 73
<jdi + < dij + <idj = 180 triangle
31 + 73 + < idj = 180
combine like terms
104+ < idj = 180
subtract 104 from each side
< idj = 76
<idj = < ajf vertical angles
76 < ajf
<ajf = x
x=76 degrees
Answer:
x=-11
Step-by-step explanation:
12-4(x+2)=48
Subtract 12 from each side
12-12-4(x+2)=48-12
-4(x+2)=36
Divide by -4
-4(x+2)/-4=36/-4
x+2 = -9
Subtract 2
x+2-2 = -9-2
x=-11
