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kicyunya [14]
2 years ago
5

Geometry Proof - please help ASAP

Mathematics
1 answer:
DanielleElmas [232]2 years ago
4 0

Answer:

  • If angle C is 90 degrees (def. of right angle) then the sum of angle A and B has to 90 degrees since angle A + B + C (90°) = 180°

Statements and Reasons:

3. Angle C is 90 degrees because of the definition of right angle.

4. Angle A + angle B + angle C is 180 degrees because of triangle sum.

5. Angle A + angle B + 90 = 180 because of substitution postulate.

6. Angle A + angle B is 90 degrees because of subtraction postulate. (subtract 90 from both sides from the equation above this step).

7. Angle A and angle B are complementary.

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Pls help
alisha [4.7K]

Answer:

i think it would be 11 cups

3 0
3 years ago
Show how to solve 1/4 (4 + x) = 4/3<br><br><br><br> pls solve for 2 brainliest
Thepotemich [5.8K]
Simplify
1
4
(
4
+
x
)
4
1
​
(4+x) to
4
+
x
4
4
4+x
​
.
4
+
x
4
=
4
3
4
4+x
​
=
3
4
​


2 Simplify
4
+
x
4
4
4+x
​
to
1
+
x
4
1+
4
x
​
.
1
+
x
4
=
4
3
1+
4
x
​
=
3
4
​


3 Subtract
1
1 from both sides.
x
4
=
4
3
−
1
4
x
​
=
3
4
​
−1

4 Simplify
4
3
−
1
3
4
​
−1 to
1
3
3
1
​
.
x
4
=
1
3
4
x
​
=
3
1
​


5 Multiply both sides by
4
4.
x
=
1
3
×
4
x=
3
1
​
×4

6 Simplify
1
3
×
4
3
1
​
×4 to
4
3
3
4
​
.
x
=
4
3
x=
3
4
​
4 0
3 years ago
Peter works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. Last month, he worked
Romashka-Z-Leto [24]

Answer:

$10,318.62

Step-by-step explanation:

We have been given that works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. If he works over 40 hours during any week, he earns double his hourly wage.

Peter's hourly charges during 1st and 2nd week would be $33.19 and hourly charges during 3rd and 4th week would be 2 times $33.19.

First of all, we will find total hourly income as:

\text{Total hourly income}=\$33.19(30+40)+2\times \$33.19(49+55)

\text{Total hourly income}=\$33.19(70)+\$66.38(104)

\text{Total hourly income}=\$2323.3+\$6903.52

\text{Total hourly income}=\$9226.82

Now, we will find income from commission on sales as:

\text{Income from commission on sales}=\frac{5.3}{100}(4500+5500+3800+6800)

\text{Income from commission on sales}=0.053(20600)

\text{Income from commission on sales}=1091.8

Peter's total earnings is the last month: \$9226.82+\$1091.8=\$10,318.62

Therefore, Peter's total earnings in last month was $10,318.62.

5 0
3 years ago
Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for
STALIN [3.7K]
Answer: chicken $8, duck $5

Explanation:

x - the cost of a chicken
y - the cost of a duck

he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532

50x + 30y = 550                divide by 10
44x + 36y = 550                 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55                                    
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8

Since 5x + 3y = 55  and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
6 0
3 years ago
Read 2 more answers
What is 10.8 + ( 4.73)
adoni [48]
Hello,

Shall we begin?

    10.80
+    4.73
-----------
    15.53

<span>Answers: 15.53</span>
3 0
3 years ago
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