Answer:
27 hours
Step-by-step explanation:
2,000-1,055=945
945/35=27
27 hours is the most the installer can work before going over Elliot's budget hope this helps :D
Answer:
HL, LL, SSS, SAS
Step-by-step explanation:
HL is the hypotenuse-leg theorem. It states that if the hypotenuse and leg of one triangle are congruent to the hypotenuse and corresponding leg of another triangle, the triangles are congruent. We have that both legs of the triangles are congruent as well as the hypotenuse, so the HL theorem applies.
LL is the leg-leg theorem. It states that if both legs of one right triangle are congruent to both legs of the second triangle, the triangles are congruent. We have that both legs are congruent; this is the LL theorem.
SSS is the side-side-side theorem. It states that if all three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent. All three sides of both triangles are congruent, so this is the SSS theorem.
SAS is the side-angle-side theorem. It states that if two sides and an included angle of one triangle are congruent to the corresponding two sides and included angle of another triangle, then the triangles are congruent. We have JL≅QS, ∠L≅∠S and LK≅SR. This is the SAS theorem.
Answer:
y = 8
x = 21
Step-by-step explanation:
Find x first. Since there is a straight line, we can conclude it's equal to 180 degrees.
11x + 10 -61 = 180
Add 10 to negative 61.
11x - 51 = 180
Add 51 to both sides.
11x = 231
Divide 11 both sides
x = 21.
Now put x in the equations to solve.
This is for the small angle on the right side.
(21+10) = 31
This is for the big angle on the right side.
(10(21) - 61)
210 - 61 = 149.
Now for the other side, we know the degree for the smaller side on the left side since it's a vertical angle.
31 degrees for top left angle. Since we know this side is 180 just subtract 31 from 180 and you'll get 149.
18y + 5 = 149
Subtract 5 both sides.
18y = 144
y = 8.
Angle A = 3x - 10
Angle B = x
Their angle sum = 90° ( complementary angles form 90° )
This can be written in an equation as =
= 3x - 10 + x = 90
= 3x + × + ( -10 ) = 90
= 4x + (-10) = 90
= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )
= 4x = 100
= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )
= x = 25
Angle A = 3x - 10
= 3 × 25 - 10
= 75 - 10
= Angle A = 65°
Angle B = x = 25°
Their sum = 65 + 25 = 90°
Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .
Answer:
first blank is "rhombus"
second blank is "rectangle"
third blank is "are congruent"
Step-by-step explanation:
