Answer:
consecutive interior angles
Step-by-step explanation:
inside of the angle and consecutive to each other
Answer:
$30
Step-by-step explanation:
He first has 10 dollars. Then 5 is taken off.
So, 10-5=5
His friend gives him 25 more dollars
So, 25+5= 30
Hope this helped!
Answers:
B = 50
a = 10.9
c = 17.0
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Explanation:
This is a right triangle, so the acute angles are complementary, meaning they add to 90
B+40 = 90
B+40-40 = 90-40
B = 50
Also, because this is a right triangle, we can use trig ratios to compute the missing sides
tan(angle) = opposite/adjacent
tan(40) = a/13
a = 13*tan(40)
a = 10.908
a = 10.9
cos(angle) = adjacent/hypotenuse
cos(40) = 13/c
c*cos(40) = 13
c = 13/cos(40)
c = 17.0
note: make sure your calculator is in degree mode
Answer:
Area = 228 m²
Perimeter = 60 m
Step-by-step explanation:
The figure given shows a rectangle that has a cut triangular portion.
✔️Area of the figure = area of rectangle - area of the triangular cut portion
= L*W + ½*bh
Where,
L = 20 m
W = 12 m
b = 20 - (8 + 8) = 4 m
h = 6 m
Plug in the values
Area = 20*12 - ½*4*6
Area = 240 - 12
Area = 228 m²
✔️Perimeter = perimeter of rectangle - base of the triangular cut portion
= 2(L + W) - b
L = 20 m
W = 12 m
b = b = 20 - (8 + 8) = 4 m
Plug in the values
Perimeter = 2(20 + 12) - 4
= 2(32) - 4
= 64 - 4
Perimeter = 60 m
Answer:
18. g= -3
19. x= -1
20. n= 3
21. p= -1
22. d= -3
23. a= 5
Step-by-step explanation:
how to solve the variable (using 18 as an example)
step 1: simplify both sides of the equation.
20+g+g=14
(g+g)+(20)=14(combine like terms)
2g+20=14
2g+20=14
step 2: subtract 20 from both sides.
2g+20−20=14−20
2g=−6
step 3: divide both sides by 2.
2g/2 = -6/2
