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: This one is D.110! ☺️
Answer:
75
Step-by-step explanation:
Average needed to get grade C = 70
Average = Total Amount / No of Items.
No of items = 4
therefore Total needed = 70 x 4 = 280
current total score = 66.75 + 66 + 72.25 = 205
the fourth test minimum score = 280 - 205 = 75
Answer:
4) reflexive property of congruence
5) SAS theorem
6) property of Congruent triangles
Step-by-step explanation:
Given:
In ΔXYZ, line YW ⊥ XZ
Also XW≅ZW
Now
4) by reflexive property of congruence that states that any line,object or figure is congruent to itself
hence YW≅YW
5) By SAS theorem that states that if the two corresponding sides and the angle between those sides of two triangles are congruent then the two triangles are said to be congruent.
Hence ΔWXY≅ΔWZY
6) By property of Congruent triangles that states that if two triangles are congruent then their corresponding sides are also congruent.
Hence XY≅ZY !
