1 and 5 are corresponding angles, so both have the same measure:
m 1 = m 5
m 1 = 65º
Answer: option D. 65º.
I hope this helps. =)
It looks like your equations are
7M - 2t = -30
5t - 12M = 115
<u>Solving by substitution</u>
Solve either equation for one variable. For example,
7M - 2t = -30 ⇒ t = (7M + 30)/2
Substitute this into the other equation and solve for M.
5 × (7M + 30)/2 - 12M = 115
5 (7M + 30) - 24M = 230
35M + 150 - 24M = 230
11M = 80
M = 80/11
Now solve for t.
t = (7 × (80/11) + 30)/2
t = (560/11 + 30)/2
t = (890/11)/2
t = 445/11
<u>Solving by elimination</u>
Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,
7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)
5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)
Now combining the equations eliminates the t terms, and
(-10t + 35M) + (10t - 24M) = -150 + 230
11M = 80
M = 80/11
It follows that
7 × (80/11) - 2t = -30
560/11 - 2t = -30
2t = 890/11
t = 445/11
Answer:
46
Step-by-step explanation:
Solution :
Remember that the sum of complementary angles is always 90°.
First, finding the value of x :
Set up an equation :
( Being complementary angles )
Solve for x
{ Remove unnecessary parentheses }
{ Combine like terms }
{ Subtract 3 from 30 }
{ Move 27 to right hand side and change it's sign }
{ Subtract 27 from 90}
{ Divide both sides by 9 }
The value of X is 7°
Now, Replacing the value of x in order to find the value of B
{ Plug the value of x }
{ Multiply 7 by 7 }
{ Subtract 3 from 49 }
The measure of B is 46°
Answer:
3
the equation to find slope is y1-y2 / x1-x2
5-2 / 0- (-1)
3/1
3
Step-by-step explanation:
Answer:
A ≈ 40.3 cm²
Step-by-step explanation:
The area of right Δ ACD is calculated as
A = 
bh ( b is the base and h the perpendicular height )
Here A = 50.5, b = CD and h = AC , then
× 14 × AC = 50.5
7 AC = 50.5 ( divide both sides by 7 )
AC ≈ 7.214
The area of Δ ABC is calculated as
A = × BC × AC × sin36°
= 0.5 × 19 × 7.214 × sin36°
≈ 40.3 cm² ( to 3 sf )
