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2 years ago

Jk is perpendicular to xy at its midpoint m. choose the answer that includes the correct responses.

Mathematics

1 answer:

Soloha48 [4]2 years ago

3 0

Answer:

Step-by-step explanation:

JK intercept line XY at the midpoint. This means that these points are all equidistant from the midpoint. Due to this, J and K are both an equal distance from M. So is X and Y.

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Line CD passes through points C (1,3) and D (4,-3). If the equation of the line is written in slope intercept form, y=my+b, what

Lina20 [59]

Answer:

b=5

Step-by-step explanation:

C(1,3) and point D(4,-3)

Since we want the equation in slope intercept form we must first calculate the slope (m):

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m=\frac{-3-3}{4-1}\\ \\m=\frac{-6}{3} \\\\m=-2$

By point slope formula and using point C (1,3) we have: $y-y_{1}=m(x-x_{1})\\\\y=m(x-x_{1})+y_{1}\\\\y=-2(x-1)+3\\\\y=-2x+2+3\\\\y=-2x+5$

So the slope is -2 and the y -intercept (b) is 5.

3 0

2 years ago

Read 2 more answers

Law of sines: 2.2 units 2.4 units 3.0 units 3.3 units

Arada [10]

Answer:

$RS=2.4\ units$

Step-by-step explanation:

The complete question is

What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.

see the attached figure to better understand the problem

step 1

Find the measure of angle S

Applying the law of sines

$\frac{QS}{sin(R)}=\frac{QR}{sin(S)}$

substitute the given values

$\frac{3.1}{sin(80^o)}=\frac{2.4}{sin(S)}$

Solve for sin(S)

$sin(S)=\frac{sin(80^o)}{3.1}(2.4)$

$S=sin^{-1}[sin(80^o)}{3.1}(2.4)]$

$S=49.68^o$

step 2

Find the measure of angle Q

Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees

$m\angle Q+m\angle R+m\angle S=180^o$

substitute the given values

$m\angle Q+80^o+49.68^o=180^o$

$m\angle Q+129.68^o=180^o$

$m\angle Q=180^o-129.68^o$

$m\angle Q=50.32^o$

step 3

Find the length of segment RS

Applying the law of sines

$\frac{QS}{sin(R)}=\frac{RS}{sin(Q)}$

substitute the given values

$\frac{3.1}{sin(80^o)}=\frac{RS}{sin(50.32^o)}$

$RS=\frac{3.1}{sin(80^o)}{sin(50.32^o)}$

$RS=2.4\ units$

3 0

2 years ago

A baby outfit uses 2/9 square yard of fabric for the hat and 5/9 square yards of fabric for the bib. A tailor has 5 4/9 square y

Ludmilka [50]

Answer:

She can make 7 baby outfits.

Step-by-step explanation:

Given:

A baby outfit uses 2/9 square yard of fabric for the hat and 5/9 square yards of fabric for the bib.

A tailor has 5 4/9 square yards of fabric.

Now, to find the outfits she can make.

So, we add to get the total fabric used for baby outfits hat and bib:

$\frac{2}{9} +\frac{5}{9}\ square\ yards.$

$=\frac{2+5}{9}\ square\ yards.$

$=\frac{7}{9}\ square\ yards.$

Total fabric used for outfit = $=\frac{7}{9}\ square\ yards.$

Total fabric tailor has = $5\frac{4}{9} =\frac{49}{9}\ square\ yards$

Now, to get the number of outfits from the fabric tailor has we divide by total fabric used for outfit:

Number of outfits = Total fabric tailor has ÷ Total fabric used for outfit.

$Number\ of\ outfits = \frac{49}{9} \div\frac{7}{9}$

Thus, on dividing we get:

$Number\ of\ outfits = 7\ outfits.$

Therefore, she can make 7 baby outfits.

6 0

2 years ago

School is out ladies and Gentlemen hope y’all have a great summer!

Alina [70]

Hey there!

I hope you have a great one too :)

3 0

2 years ago

How could you use doubles to help you find the sum of 7+6

timurjin [86]

Use doubles to multipy. 7*2 is 14 right. Hope I helped.

3 0

2 years ago

Read 2 more answers