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3 years ago

Find the measure of angle A

Mathematics

1 answer:

Brut [27]3 years ago

5 0

Answer:

-7

Step-by-step explanation:

The sum of all angles in a triangle will be equal to 180.
So we add x+46+x+71+77=180*
2x+194=180
2x= -14
x=-7

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After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.

torisob [31]

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$s(av) = \frac{∆x}{∆t} \\$

$s(av) = average \: \: speed$

$∆x = covered \: \: distance$

$∆t = time \: \: of \: \: the \: \: covered \: \: distance \\$

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$s(av) = \frac{183}{3} \\$

$s(av) = 61 \: \: \frac{mile}{hour}$

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3 years ago

Find an equation for the line perpendicular to the line −4x+3y=−2having the same y-intercept as −7x−7y=6

SCORPION-xisa [38]

First we need to find slope of given line −4x+3y=−2

So convert it into slope intercept form y=mx+b

−4x+3y=−2

3y=4x−2

y=4/3x−2/3

Comparing above equation with y=mx+b gives m=4/3

Hence slope of given line is 4/3.

<em>We need slope of perpendicular line which is always "negative reciprocal of given slope"</em>.

Negative of 4/3 is -4/3.

taking reciprocal gives -3/4

Hence slope of required perpendicular line is m=-3/4

-------

Now we need to find y-intercept of −7x−7y=6

y-intercept is always the y-value when x=0 so let's plug x=0 into −7x−7y=6

−7(0)−7y=6

0−7y=6

−7y=6

y=-6/7

y-intercept is also called "b" in y=mx+b

hence b=-6/7

-----

Now we know that slope of perpendicular line is m=-3/4 and y-intercept b=-6/7

so plug both into formula y=mx+b

We get Final answer is $y=-\frac{3}{4}x-\frac{6}{7}$

6 0

3 years ago

As one of the groundskeepers at Gardens, Tim planted 86 myrtle trees along both sides of the entrance driveway. Of the trees he

konstantin123 [22]

Answer:

Option A : 29 is the correct answer.

Step-by-step explanation:

Given that:

Number of trees planted by Tim = 86

Percent of trees with white flowers = 34%

Number of trees = 34% of 86

Number of trees = $\frac{34}{100}*86$

Number of trees = 0.34 * 86

Number of trees = 29.24

Rounding to nearest whole number

Number of trees = 29

Hence,

Option A : 29 is the correct answer.

3 0

3 years ago

you have a full cylindrical glass of water that stands 8 inches tall and has a radius of 1.5 inches .if you pour the water into

Romashka-Z-Leto [24]

Volume of cylinder=πr²h volume of another cylinder=πr²h
=22/7×1.5×1.5×8 =22/7×2.5×2.5×12
=396/7 =1560/7
=56.57 =235.71

=235.71-56.57
=179.14 amount of water is able to hold by the larger cylinder

4 0

4 years ago

Read 2 more answers

For $7.52, you purchased 8 pens and highlighters from a local bookstore. Each highlighter costs $1.09 and each pen costs $.69. H

neonofarm [45]

P=number of pens
h=number of highlighters

p+h=8

1.09h+0.69p=752

p+h=8
minus h from both sides
p=8-h

sub that for p

1.09h+0.69(8-h)=7.52
1.09h+5.52-0.69h=7.52
0.4h+5.52=7.52
minus 5.52 from both sides
0.4h=2
divide both sides by 0.4
h=5

sub back

h=8-p
5=8-p
minus 8 frm both sides
-3=-p
mltiply both sides by -1
3=p

3 pens you bought

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3 years ago