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3 years ago

Given: y || 2 Prove: m25+ m22 + m26 = 180°

Mathematics

1 answer:

Maurinko [17]3 years ago

7 0

Answer:

1. Statement: y || z

Reason: given

2. Statement: m∠1 + m∠2 + m∠3 = m∠LAM

Reason: angle addition postulate

3. Statement: m∠1 + m∠2 + m∠3 =180

Reason: def. of a straight angle

4. Statement: ∠1 ≅∠5

Reason: alternate interior angles theorem

5. Statement: ∠3 ≅∠6

Reason: alternate interior angles theorem

6. Statement: m∠1 = m∠5

Reason: def. of ≅

7. Statement: m∠3 = m∠6

Reason: def. of ≅

8. Statement: m∠5 + m∠2 + m∠6 = 180

Reason: substitution

Step-by-step explanation:

Hope this helps! :)

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3 years ago

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Please help thank you!

Arte-miy333 [17]

Answer:

golf: $10
batting: $2.50

Step-by-step explanation:

We can write two equations in the two unknowns using the given relations. Let g and b represent the costs of a round of golf and a turn in the batting cage, respectively.

5g +4b = 60 . . . . . Sylvester's expense

3g +6b = 45 . . . . . Lin's expense

Dividing the second equation by 3 gives ...

g +2b = 15 ⇒ 2b = 15 -g

Substituting into the first equation, we have ...

5g +2(2b) = 60

5g +2(15 -g) = 60 . . . . . substitute for 2b

3g = 30 . . . . . . . . . subtract 30, collect terms

g = 10 . . . . . . . divide by 3

2b = 15 -10 = 5 . . . . use the value of g to find b

b = 2.5 . . . . . . . . divide by 2

Mini golf costs $10 per round; batting cages cost $2.50 per turn.

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2 years ago

The floor of a triangular room has an area of 32 1/2 sq.m. If the triangle’s altitude is 7 172 m, write an equation to determine

sineoko [7]

Answer:

$\frac{(2)A}{h} =b$

b=0.00906m

Step-by-step explanation:

Hello! To solve this exercise we must remember that the area of any triangle is given by the following equation

$A=\frac{bh}{2}$

where

A=area=32.5m^2

h=altitude=7172m

b=base

Now what we should do take the equation for the area of a rectangle and leave the base alone, remember that what we do on one side of the equation we must do on the other side to preserve equality

$A=\frac{bh}{2} \\\frac{2}{h} A=\frac{bh}{2} \frac{2}{h} \\$

$\frac{A(2)}{h} =b$

solving

$\frac{2(32.5)}{7172} =0.0090[tex]\frac{A(2)}{h} =b\\b=0.00906m$

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3 years ago