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Vitek1552 [10]
3 years ago
8

In ABC, points D and E are the midpoints of and respectively. What are the slope and length of , if the slope and length of are

0.5 and 3.2 units, respectively?
Mathematics
1 answer:
Scrat [10]3 years ago
4 0

DE is parallel to BC since D is the midpoint of AB and E is the midpoint of AC.

<span>
Thus, DE and BC have the same slope (0.5) and basing on the formula for midpoint, the length of DE would be the equal half of BC and is equal to 1.6 units</span>

 

The slope and length of DE, if the slope and length of BC are 0.5 and 3.2 units, respectively are 0.5 and 1.6 respectively.

 

I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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Rename 4/7 as a percent. Round to the nearest tenth of a percent if necessary.
enyata [817]

Answer:

Part 1) Option C. 57.1%

Part 2) Option B. 70.9%

Part 3) Option C. 66 2/3 %

Part 4) Option A. About 16

Part 5) Option A. About $12

Part 6) Option B. About $9

Part 7) Option B. x/50=70/100

Part 8) Option B. 25%

Part 9) Option D. 800

Part 10) $1,770

Step-by-step explanation:

Part 1) Rename 4/7 as a percent

we know that

To rename a number as a percent, multiply the number by 100

so

(4/7)*100=400/7=57.1%

Part 2) Rename .709 as a percent

we know that

To rename a number as a percent, multiply the number by 100

so

0.709*100=70.9%

Part 3) If 1/3 is equivalent to 33 1/3% what percent is equivalent to 2/3?

we know that

33 1/3%=(33*3+1)/3 %=100/3 %

By proportion

(100/3 %)/(1/3)=x/(2/3)

x=200/3 %=66 2/3 %

Part 4) Alice plays basketball. In one game she shoots 21 free throws and makes 81.25% of them. Estimate how many she makes

To find the exact value multiply the total shoots by the percentage

21*(81.25/100)=17.06

so

<em>To find the estimate value</em>

21 shoots is about 20

81.25% is about 80%

so

20*(80/100)=16

the answer is about 16

Part 5) Estimate 48% of 23.95

To find the exact value multiply the number by the percentage

23.95*(48/100)=11.50

<em>To find the estimate value</em>

23.95 is about 24

48% is about 50%

so

24*(50/100)=12

Part 6) The bill at a restraint is $58.50 and Mrs. Johnson wants to leave a 15% tip. Approximately how much money

To find the exact value multiply the bill by the percentage

so

$58.50*(15/100)=$8.78

<em>To find the approximate value</em>

$58.50 is about $60

$60*(15/100)=$9

Part 7) Which proportion can be used to solve the following percent problem? What is 50% if 100% is 70?

using proportion

x/50=70/100

x=70*50/100

x=35

Part 8) What percent of 50 is 12.5?

using proportion

50/100%=12.5/x%

x=100*12.5/50

x=25%

Part 9) 50 Is 6.25% of what number?

using proportion

50/6.25%=x/100%

x=100*50/6.25

x=800

Part 10) Chris works at Higgins’ Automart and is selling a new Shelby Mustang for $59,000. If he earns a commission of 3%, how much money does he earn?

we know that

$59,000 ------> represent the 100%

using proportion

Find how much money represent 3% of the commission

59,000/100%=x/3%

so

X=$59,000*(3/100)=$1,770

4 0
3 years ago
Help#3 plus plus plus need this
gayaneshka [121]
Wouldn't it be -54. Because when you subtract 5-59 you get a negative number... IT WOULD BE FREEZING THERE!!! I HOPE THIS HELPED
3 0
3 years ago
Read 2 more answers
Please help &lt;3 Thanks!!
iVinArrow [24]

what dou you need?????????

7 0
3 years ago
80Divided by 3 plz help
mojhsa [17]

Answer:

Your answer is 26.667

hope this helps

8 0
3 years ago
Solve and graph the inequality. −x4−6≥−8 {"version":"1.1","math":"-x4-6≥-8"} Question 6 options: x ≤ 8 x &lt; –4 x &gt; 8 x ≥ –8
anastassius [24]

Answer:

x \geq  -4

Step-by-step explanation:

The given inequality is

-x(4-6) \geq -8

To solve this inequality, we just have to isolate x

-x(-2) \geq -8

2x\geq -8\\x\geq \frac{-8}{2}\\ x\geq -4

Therefore, the solutions for this inequality is x \geq  -4.

If we graph this inequality, the solution would be like the image attached.

4 0
4 years ago
Read 2 more answers
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