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3 years ago

Please show work !!! Thxs

Mathematics

1 answer:

Vikki [24]3 years ago

4 0

Perpendicular lines have opposite reciprocal slopes, so to find the slope of the line perpendicular to y = 2x -1,

first find the slope of y = 2x - 1, which is 2 (slope is the coefficient of the variable x).

Now we must find the opposite reciprocal of 2, so flip 2 (2/1) over and add a negative sign.

2 becomes -1/2, so your answer is:

A) -1/2

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Kaylis [27]

Answer:

84 degree

Step-by-step explanation:

the new supposed line is parallel to the given parallel lines..

4 0

3 years ago

Andy has a snowball (a perfect sphere) with the radius of 3 cm. He wanted the snowball to be bigger, so he spent four seconds pa

BigorU [14]

Answer:

Ratio = $\frac{64}{27}$

Step-by-step explanation:

Volume of Sphere is given by the formula:

$V=\frac{4}{3} \pi r^3$

Where

V is the volume

and

r is the radius

Original Volume, given r = 3, would be:

$V=\frac{4}{3} \pi r^3\\V=\frac{4}{3} \pi (3)^3\\V=\frac{4}{3}\pi (27)\\V=36\pi$

Increased snowball volume:

Radius increased 0.25 per second, he spent 4 seconds, so radius increase:

0.25 * 4 = 1 cm

New radius = 3 + 1 = 4 cm

New Volume would be:

$V=\frac{4}{3} \pi r^3\\V=\frac{4}{3} \pi (4)^3\\V=\frac{4}{3}\pi(64)\\V=\frac{256\pi}{3}$

Ratio of New Volume to Original would be:

$Ratio=\frac{\frac{256\pi}{3}}{36\pi}=\frac{256\pi}{3}*\frac{1}{36\pi}=\frac{64}{27}$

This is the ratio for current volume to original volume.

3 0

3 years ago

Help plz!!! 68 Points!!

Mariana [72]

Answer:

Refer below explanation.

Step-by-step explanation:

Given : two triangles ∆QPK and ∆LMK.

We have to show ∆QPK ≅ ∆LMK.

Two triangles are similar if ratio of the corresponding sides are equal and measure of corresponding angles are equal.

Statement 1)

QK=16, PK=26, MK=65, KL=40 ( Reason: Given)

Statement 2 )

$\frac{QL}{KL}=\frac{16}{40} \\\\\frac{PK}{KM} =\frac{26}{65}$

(reason : ratio of corresponding sides)

Statement 3)

$\frac{QL}{KL}=\frac{16}{40}=\frac{2}{5} \\\\\frac{PK}{KM} =\frac{26}{65}=\frac{2}{5}$

Thus, $\frac{QL}{KL}=\frac{PK}{KM} =\frac{2}{5}$

(reason: simplify ratios)

Statement 4)

∠MKL = ∠PQK (reason : Vertically opposite angles)

Statement 5)

∆QPK ≅ ∆LMK (reason : Side-angle-side)

Side angle side similarity criterion states that two angles are similar if the ratio of their corresponding sides and angle between these sides are equal then triangles are similar.

5 0

3 years ago

Click and drag to draw a ray from the yellow dot.

miv72 [106K]

Answer:

1/2(m∠JKL) = m∠JKM

Step-by-step explanation:

The angle JKL is being bisected by line KM. This means that the angle has been split into 2 equal angles. Therefore, one of these angles will be equal to 1/2 of the large angle. So, option B, 1/2(m∠JKL) = m∠JKM, is correct.

3 0

3 years ago

Evaluate 5x22– 4 when x = 3

ddd [48]

Answer:

Step-by-step explanation:

5 0

3 years ago