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4 years ago

Can I get help .. down below

Mathematics

1 answer:

Pavlova-9 [17]4 years ago

5 0

Answer:

The answer is option D.

20 x⁴ - 39 x³+ 26 x² - 6 x

Hope this helps you

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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 circumference of a circular garden is 91.06 feet. What is the radius of the garden? Use 3.14 for pi and do not round your an

pantera1 [17]

Answer:

radius = 14.5 feet

Step-by-step explanation:

91.06 / 3.14 = diameter = 29

radius = 29/2 = 14.5 feet

8 0

3 years ago

Find the quotient. Enter your answer in simplest form.<br> − 1/8 / − 2/7=

Allushta [10]

Answer:

7/16

Step-by-step explanation:

-1/8 ÷ -2/7

~Copy Dot Flip

-1/8 * -7/2

~Multiply

7/16

Best of Luck!

3 0

3 years ago

A political candidate collected $1,749 from a fund raising dinner. If each supporter contributed at least $50, what is the great

Irina-Kira [14]

Answer: C. 34

Step-by-step explanation: 1749 divided by 50 is 34.94 however those extra cents has to just be counted like a tip because it’s not big enough to count as someone. It has to be a full number. Sorry if I explain weird!

4 0

3 years ago

Please help with this question

kumpel [21]

Answer:

160°

Step-by-step explanation:

Minor Arc NR is equal to the measure of its central angle, S.

S and 20 are supplementary angles, so they add up to 180.

So, s +20 =180

S = 160, so NR = 160 as well

4 0

3 years ago