Answer:
12-x=y
Step-by-step explanation:
Answer:
FIRST PROBLEM:
Exact Form:
x = 25
/19
Decimal Form:
x = 1.31578947
Mixed Number Form:
x = 1 6
/19
SECOND PROBLEM
Exact Form:
x = −
9 + √
106
, −
9 −
√
106
Decimal Form: x = 1.29563014
, −
19.29563014
Step-by-step explanation:
Answer:
A and E
Step-by-step explanation:
That's where they overlap
Answer:
m∠S=30°
m∠T=60°
m∠P=90°
Step-by-step explanation:
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
In the triangle STP
m∠S+m∠T+m∠P=180° ----> equation A
m∠T=2(m∠S) ----> equation B
m∠P=3(m∠S) ----> equation C
Solve the system of equations by substitution
Substitute equation B and equation C in equation A
m∠S+2(m∠S)+3(m∠S)=180°
Solve for m∠S
6m∠S=180°
m∠S=30°
<em>Find m∠T</em>
m∠T=2(m∠S)
m∠T=2(30°)=60°
<em>Find m∠P</em>
m∠P=3(m∠S)
m∠P=3(30°)=90°
All the angles must add to 180degrees in a triangle.
180 = 59 + 35 + x
180 = 94 + x
86 = x
Supplementary angles x and z add to 180
180 = x + z
180 = 86 + z
94 = z
Now the last triangle is with angles 11, z, and y
they must add to 180 so...
180 = 11 + z + y
180 = 11 + 94 + y
180 = 105 + y
75 = y
Hope this helps!
