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victus00 [196]
3 years ago
7

Explain how you would use an area model to show 3 x 19.

Mathematics
1 answer:
Triss [41]3 years ago
7 0

Answer:

You would draw a rectangle that has 3 rows of 19 squares.

This would represent 3 times 9.

Step-by-step explanation:

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The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0). Which conc
vodka [1.7K]

Answer:

They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

Given:

The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0).

To choose: the correct option

Solution:

According to distance formula distance between points (x_1,y_1),(x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For ΔMNO,

MN=\sqrt{(4-1)^2+(9-3)^2}=\sqrt{(3)^2+(6)^2}=\sqrt{45}\\NO=\sqrt{(7-4)^2+(3-9)^2}=\sqrt{(3)^2+(-6)^2}=\sqrt{45}\\\\MO=\sqrt{(7-1)^2+(3-3)^2}=\sqrt{(6)^2+(0)^2}=\sqrt{36}=6\\

For ΔPQR,

PQ=\sqrt{(4-3)^2+(2-0)^2}=\sqrt{(1)^2+(2)^2}=\sqrt{5}\\QR=\sqrt{(5-4)^2+(0-2)^2}=\sqrt{(1)^2+(-2)^2}=\sqrt{5}\\\\PR=\sqrt{(5-3)^2+(0-0)^2}=\sqrt{(2)^2+(0)^2}=2\\

So,

\frac{MN}{PQ}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\ \frac{NO}{QR}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\\frac{MO}{PR}=\frac{6 }{2 }=3\\

Therefore, They are similar by the definition of similarity in terms of a dilation.

Two triangles are said to be similar if their sides are proportional.

8 0
3 years ago
The complement of an angle is eight times as large as the angle find the measure of the complement
hammer [34]
Label the 2 angles, one is x and the other is 8x.
90 = 8x + x
90 = 9x
10 =x
10 times 8 = 80. this is 8x.
10(which is x) + 80 (which is the 8x) = 90.
7 0
4 years ago
Read 2 more answers
1. Clara opens a savings account with $500 and deposits $75 each month thereafter. Write a
Julli [10]

Answer:

y = (75x + 500)

Step-by-step explanation:

To find the linear model,

Let y = monthly balance of the savings

x = months of the savings

With savings account with $500 which is fixed

deposits = $75

Then the model is

y = (75x + 500)

6 0
3 years ago
5x + 8 − 3x = −10<br><br> x = −9<br> x = −1<br> x = 1<br> x = 9
zvonat [6]

Answer:

-9

Step-by-step explanation:

7 0
4 years ago
A book is marked down by 28 percent from an original price of $19.50. What is the new price?
S_A_V [24]

Answer:

$5.46

Step-by-step explanation:

<em>If you need help with percentages you can look up percentage calculator it might help you.</em>

7 0
3 years ago
Read 2 more answers
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