Answer:
False
Step-by-step explanation:
Just because two angles are both obtuse does not necessarily mean that the two angles are equal.
Obtuse just means that the angles are above 90 degrees.
One angle could be 91 degrees while the other could be 150, and those angles are not equal.
Answer:
Step-by-step explanation:
Let's get some organization going here and number the equations:
1. A+B=25.6
2. A+C=41.6
3. B+D=25.6 and
4. C-D=19.2
First I am going to solve equation 1 to get new equation 5:
5. B=25.6-A (hold that for a sec) and then solve equation 2 to get new equation 6:
6. C=41.6-A
Now sub equation 5 into equation 3:
25.6-A+D=25.6 and
A-D=0 so
A=D. That's good. Now we move on:
Sub equation 6 into equation 4 to get
41.6-A-D=19.2. But since A = D:
41.6-D-D=19.2 so
41.6-2D=19.2 and
-2D=-22.4 so
D = 11.2 and so does A.
Now we will fill in to get B and C.
In equation 2, with A = 11.2:
11.2+C=41.6 so
C = 30.4.
For B, use the fact that D = 11.2 in equation 3:
B+11.2=25.6 so
B = 14.4
All in all:
A = 11.2
B = 14.4
C = 30.4
D = 11.2
Yikes!!
Answer:
28.57%
Step-by-step explanation:
Given data
Initial cost =$28
Final cost =$36
Required
The percentage change in cost
Percent change =final - initial/initial*100
Substitute
Percent change =36-28/28*100
Percent change =8/28*100
Percent change =0. 2857*100
Percent change =28.57%
Answer:
x = 9
y = 13
Step-by-step explanation:
Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).
Therefore, GH = PM ⇒ 7x + 8 = 6y - 7
and, GP = HM ⇒ 8x - 10 = 5y - 3
Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:
GH = PM
⇒ 7x + 8 = 6y - 7
⇒ 7x = 6y - 15
⇒ x = (6/7)y - 15/7
Substituting x = (6/7)y - 15/7 into GP = HM:
GP = HM
⇒ 8x - 10 = 5y - 3
⇒ 8[(6/7)y - 15/7] - 10 = 5y - 3
⇒ (48/7)y - 120/7 - 10 = 5y - 3
⇒ (13/7)y = 169/7
⇒ y = 13
Now we have found a value for y, substitute this into one of the expressions and solve for x:
8x - 10 = 5y - 3
⇒ 8x - 10 = (5 x 13) - 3
⇒ 8x - 10 = 62
⇒ 8x = 72
⇒ x = 9
Answer:
Step-by-step explanation:
Sum of angles of a triangle = 180
d+ 2d + 60 = 180
3d = 180 - 60
3d = 120
d = 40
The angles are 40, 80, 60