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3 years ago

I need help pleaseeee!!!!! I don’t understand

Mathematics

1 answer:

olganol [36]3 years ago

8 0

Answer:

a. x = 5, m∠FGH = 22°

b. m∠HGI = 22°

c. m∠FGI = 44°

Step-by-step explanation:

Since GH bisects FGI this means it divides the angle in two equal parts.

a. solving for x means equating them:

5x-3 = 6x-8 =>

5x - 6x = 3 - 8 =>

x = 5.

Both m∠FGH and m∠HGI are 5*5-3 = 22°

c. Add both angles: m∠FGH + m∠HGI = 44°

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Starting with the number 3, build a sequence of 5 numbers.

just olya [345]

Answer:

3, 6, 9, 12, 15

adding 3 each time

3, 9, 27, 81, 243

multiplying by 3 each time

Step-by-step explanation:

8 0

3 years ago

Pls solve. Showing your work is suggested.

allsm [11]

Answer:

Part 3) Miguel scored 29 points and Alonzo scored 25 points

Part 4) Morgan's age is 14 1/2 years and Mr Santos' age is 29 1/2 years

Step-by-step explanation:

Part 3) Let

x ----> the number of points that Miguel scored

y ---> the number of points that Alonzo scored

we know that

$x+y=54$ ----> equation A

$x=y+4$ ----> equation B

substitute equation B in equation A and solve for y

$(y+4)+y=54\\2y=54-4\\2y=50\\y=25$

Find the value of x

$x=25+4=29$

the solution is the point (29,25)

That means ----> Miguel scored 29 points and Alonzo scored 25 points

Part 4) Let

x ----> Morgan's age

y ---> Mr Santos' age

we know that

$x+y=44$ -----> equation A

$x=y-15$ ----> equation B

substitute equation B in equation A and solve for y

$(y-15)+y=44\\2y=44+15\\2y=59\\y=29.5$

Find the value of x

$x=29.5-15=14.5$

the solution is the point (14.5,29.5)

That means ----> Morgan's age is 14 1/2 years and Mr Santos' age is 29 1/2 years

3 0

3 years ago

The sheep died yesterday why

monitta

Answer:

it just died because of natural causes haha

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Archimedes calculated the volume of a sphere by comparing it to what solid? prism cylinder pyramid box

Stella [2.4K]

<h2>Answer:</h2>

cylinder

<h2>Step-by-step explanation:</h2>

Archimedes was a brilliant mathematician. This man rose the formula of the volume of a sphere by comparing this shape to a cylinder. The volume of a sphere is hard to calculate by comparing this object to a cube. So Archimedes imagined cutting a sphere into two halves, called hemispheres. So an hemisphere gave him a flat surface, which is easier to work with. Therefore, if he'd find the volume of a hemisphere, then he'd multiply the result by 2 and would get the volume of a sphere. Then he imagined a hemisphere within a cylinder as the one shown below. Also, he imagined a cone within the same cylinder. <em>What did he find? </em>He found that the volume of the hemisphere should be equal to the volume of the cylinder minus the volume of the cone:

$V=\pi r^3-\frac{1}{3}\pi r^3 \\ \\ V=\frac{2}{3} \pi r^3$