Answer:
4x +10 + 3x +2 = 180 (since they're supplementary, the angles together =180)
7x +12 =180 (combine like terms on left side, and subtract 12 from both sides)
7x = 168 (divide both sides by 7 to isolate x)
x= 24
angle 1 = 4(24)+10 (plug x into the expression for each angle, and solve)
..................96 +10
angle 1 = 106 degrees (the measure of the first angle)
angle 2 = 3(24) +2
..................72 +2
angle 2 = 74 (the measure of the second angle)
106 +74 =180 (the two add up to 180, so they're supplementary)
Step-by-step explanation:
I hope this helps :)
Answer:
it's A
Step-by-step explanation:
I Think so
If segment PD is parallel to segment CR then triangle PDX is similar to triangle CRX, due to angle PXD and angle CXR being congruent by the vertical angle theorem, and angle PDX and angle CRX being congruent by the alternate interior angle theorem, these 2 triangles are similar by the A.A similarity postulate.
Answer:10.25-r= hourly rate
Step-by-step explanation:
Answer:
26
75
37
82
145
34
Step-by-step explanation:
Hypotenuse of a right angle triangle from pythagoras theorem is given by
h²=b²+a²
Making h the subject
h=√(b²+a²)
Where h is hypotenuse, b is base and a is the other side of a triangle
10²+24²=676
√676=26 units
72²+21²=5625
√5625=75 units
12²+35²=1369
√1369=37 units
18²+80²=6724
√6724=82 units
105²+100²=21025
√21025=145 units
16²+30²=1156
√1156=34 units
