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2 years ago

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Carlos is making a wood picture frame. the picture frame is 11 inches by 14 inches. after nailing the frame together, Carlos mea

sures the diagonal. if the diagonal is 19 inches long, does the frame have 90 degree corners? explain.

1 answer:

alexira [117]2 years ago

8 0

Answer:
Hope that helps! Have a good day :)

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Points M, N, and P are respectively the midpoints of sides AC , BC , and AB of △ABC. Prove that the area of △MNP is on fourth of

Hunter-Best [27]

Answer:

The area of △MNP is one fourth of the area of △ABC.

Step-by-step explanation:

It is given that the points M, N, and P are the midpoints of sides AC, BC and AB respectively. It means AC, BC and AB are median of the triangle ABC.

Median divides the area of a triangle in two equal parts.

Since the points M, N, and P are the midpoints of sides AC, BC and AB respectively, therefore MN, NP and MP are midsegments of the triangle.

Midsegments are the line segment which are connecting the midpoints of tro sides and parallel to third side. According to midpoint theorem the length of midsegment is half of length of third side.

Since MN, NP and MP are midsegments of the triangle, therefore the length of these sides are half of AB, AC and BC respectively. In triangle ABC and MNP corresponding side are proportional.

$\triangle ABC \sim \triangle NMP$

$MP\parallel BC$

$MP=\frac{BC}{2}$

By the property of similar triangles,

$\frac{\text{Area of }\triangle MNP}{\text{Area of }\triangle ABC}=\frac{PM^2}{BC^2}$

$\frac{\text{Area of }\triangle MNP}{\text{Area of }\triangle ABC}=\frac{(\frac{BC}{2})^2}{BC^2}$

$\frac{\text{Area of }\triangle MNP}{\text{Area of }\triangle ABC}=\frac{1}{4}$

Hence proved.

5 0

3 years ago

Which equation represents the graph below?

tamaranim1 [39]

I am fairly certain it is C

3 0

2 years ago

Read 2 more answers

Determine whether the underlined value is a parameter or a statistic. A study of 6 ,076 adults in public rest rooms found that M

Ludmilka [50]

Answer:

The correct answer is: C. The value is a statistic because the 6076 adults in public restrooms are a sample.

Step-by-step explanation:

A sample statistic is a piece of statistical information you get from a part of a population. In this case, 6076 adults in public restrooms.

Now you have recognized the sample, and you infer some measure from this sample. In this case, 23% did not wash their hands before exiting.

8 0

2 years ago

What’s the answer for this ?

baherus [9]

Answer:

<h2>AA</h2>

Option B is the right option.

Here,

According to Question,

∆PNO ~ ∆ XYZ

i.e <PNO=<YXZ =37°

<PON= < YZX = 90°

hence, both triangles are similar by AA rule.

Hope this helps...

Good luck on your assignment....

4 0

2 years ago

Each night, Abby recorded how many pages of a book she read before going to bed. Her data is as follows: 7, 9, 10, 6, 8, 12, 5,

aksik [14]

Answer:

mean = 12.9

median = 9.5

Step-by-step explanation:

mean = sum of all observations / total no. of observations

= 7+9+10+6+8+12+5+11+48+13 / 10

=129 / 10

= 12.9

median = middlemost no. after arranging in ascending order

= 5,6,7,8,9,10,11,13,48

=9 and 10

=9+10 / 2

= 19 / 2

= 9.5

8 0

3 years ago