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3 years ago

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A student walks 1/4 mile from her house to the store on her way to a friends house. If the Store is 1/3 of the way to her friend

's house, how far is her friend's house from her house?
By the way, 1/4 and 1/3 are fractions

1 answer:

Liula [17]3 years ago

5 0

It equals seven twelfths

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PLEASE ANSWER !!! NEED DONE ASAP

Ilia_Sergeevich [38]

Only the triangles in figures <u>5 are congruent</u>

<h3>Further explanation </h3>

Triangles are said to be congruent if:

1. all three sides equal (SSS ---> side, side, side)
2. two sides and the included angle of 2 triangles, are equal (SAS -> Side, Angle, Side)
3. If the two angles and the included sides of the 2 triangles are equal (ASA -> Angle, Side, Angle)
4. If the two angles and the non-included sides of 2 triangles are equal (AAS -> Angle, Angle, Side)

1. △ABC ≠ △DCE : not congruent

at least 3 parts (sides or angles) are compared, in the picture only 2 sides are compared

2. △ABC ≠ △XYZ : not congruent

the angles not includes between two sides

3. △RST ≠ △VUT : not congruent

a minimum of 3 parts (sides or angles) are compared, in the picture only 1 angle and 1 side are compared

4. △DEF ≠ △DHG : not congruent

at least 3 parts (sides or angles) are compared, in the picture only 2 sides are compared

5. △JKL ≅ △KJM : congruent with ASA theorem

<h3>Learn more </h3>

Triangles UVW = XYZ might not be congruent

brainly.com/question/11467417

Keywords : triangle, the SAS Similarity Postulate, side, similar,angles,SAS,ASA,AAS,SSS

#LearnWithBrainly

6 0

2 years ago

The population in the city is 4000 people. The population decreased by 42%. What is the new population?

soldi70 [24.7K]

2,320 people is the new population amount.

8 0

3 years ago

Read 2 more answers

What is the equation of the circle shown in the graph?

lawyer [7]

C is the correct answer

8 0

2 years ago

Read 2 more answers

Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y

professor190 [17]

Answer:

Required total charge is $256\pi$ coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

$x^2=y^2\leq 16$ so that the charge density at (x,y) is,

$\rho (x,y)=2x+2y+2x^2+2y^2$

To find total charge on the disk let Q be the total charge and $x=r\cos\theta,y=r\sin\theta$ so that,

$Q={\int\int}_Q\rho(x,y) dA$ where A is the surface of disk.

$=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA$

$=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta$

$=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta$

$=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta$

$=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta$

$=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi$

$=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi$

$=256\pi$

Hence total charge is $256\pi$ coulombs per square meter.

3 0

2 years ago

Round 248,739 to the nearest hundred

vampirchik [111]

Look at your hundredth spot which is where the 7 is. So…

248, 739

Since 3 is not 5 or higher you cant round 7 up to 8. So your correct answer is 248,700

Hope this helps!

7 0

3 years ago