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Fed [463]
3 years ago
8

Find the value of x and explain how you found it. Make sure to cite the problem and share what you see before you explain your s

olution. In your explanation, include how you know that these triangles are similar. You may use a postulate such as AA, SSS, SAS, Triangle Proportionality Theorem, or a creative alternative. Justify why you were able to use the postulate/theorem and give the equation you used to find x.

Mathematics
1 answer:
klemol [59]3 years ago
6 0

Answer:

THE VALUE OF X = 3 .

Step-by-step explanation:

From the Δ RQP and Δ TSP ;

⇒ ∠  TPS = ∠ RPQ       ( since both are common angle )

⇒ RQ ≈ TS                    ( parallel lines )

⇒ ∠ PRQ = ∠ PST            ( Corresponding angle )

∴ Δ RQP ≅  Δ TSP          ( BY ASA RULE )

Now ,

 \frac{RP}{TP}  = \frac{QP}{PS}

\frac{9 + X}{9}  = \frac{6 + 2}{6}

⇒ X = 3

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4 divided by 84<br><br> (2 digit dividends, remainders)
belka [17]

Answer:

0.0476

Step-by-step explanation:

4/84=0.0476

7 0
3 years ago
What is the equation, in point slope form, of the line
melamori03 [73]

Answer:

y=3/2x+11/2

Step-by-step explanation:

Hello! Sorry  I just saw this

Anyways, let's continue

first, we need to find the equation of the line with the one that is (-2,-4) and (2,2)

first, we need to find the slope

the equation for slope is y2-y1/x2-x1

so let's label the points

x1=-2

y1=-4

x2=2

y2=2

now plug it in

2-(-4)/2-(-2)=6/4=3/2

now, let's turn it into a line

the point-slope form is y-y1=m(x-x1) (m=slope)

now, plug it in

y-(-4)=3/2(x-(-2))

simplify to

y+4=3/2(x+2)

turn into y=mx+b format

y+4=3/2x+3

subtract 4 on both sides

y=3/2x-1

Now for the line that is parallel.

Parallel lines have the same slopes, so you automatically know that the new line will be y=3/2x+b

To make sure (-3,1) is a solution to the point, put 1 as y and -3 as x

1=3/2(-3)+b

1=-9/2+b

add 9/2 on both sides

b=11/2 or 5.5

now, put it into the equation

y=3/2x+11/2

Hope this helps!

5 0
3 years ago
6. A coupon offers $1.00 off the 16-ounce size. Which size is the better<br><br> buy then?
svlad2 [7]

Answer:

Both sizes are better because they cost Same.

Step-by-step explanation:

Consider the provided information.

A coupon offers $1.00 off the 16

            Quantity     Price

Pint           16           $3.98

Quart        32           $5.98

If he gets $1 off for the 16-ounce size. The price will be:

3.98-1=2.98

He needs to pay $2.98 for 16-ounce pint.

Now find which one is better by calculating the unit rate.

\frac{Cost}{weight}=\frac{2.98 }{16}\approx0.186

Therefore, the cost of 1lb would be $0.186

For Quart 32 find the unit rate as shown:

\frac{Cost}{weight}=\frac{5.98}{32}\approx0.186

Therefore, the cost of 1lb would be $0.186

Hence, both of the size are better as the unit rate is same.

4 0
3 years ago
A chalkboard has an area of 35.8 ft a smaller chalkboard is 0.7 times that size what is the area of the smaller chalkboard
Elenna [48]

The smaller chalkboard would be 25.06 ft

3 0
3 years ago
A battery is charged. The percentage of the battery’s capacity that is charged as a function of time (in minutes) is graphed.
igor_vitrenko [27]

Answer:

  A- 12 percent

Step-by-step explanation:

You can see on the graph that the charged percentage of capacity changes from 40 to 50 in 5 minutes. Then the increase in 6 minutes will be slightly more than 10 percent.

The linear rate is (10%)/(5 min) = 2%/min, so in 6 minutes it will be

  (2%/min)×(6 min) = 12%

This calculation is consistent with our observation from the graph.

Every 6 minutes, 12 percent is added to the capacity.

3 0
3 years ago
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