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3 years ago

SHOW YOUR WORK AS MUCH AS POSSIBLE 60 POINTS

Mathematics

1 answer:

ale4655 [162]3 years ago

5 0

Answer:

see below

Step-by-step explanation:

The expression for the account is

a) 3600 -400M where m is the number of months

b) We want the expression to equal 2000

3600 -400M = 2000

c) 3600 is the initial amount in the account

400 is the amount that the account goes down each month

M is the number of months

2000 is the amount left in the account

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a cell phone company charges a flat rate of $24.98 plus 12 cents per minute write an algerbraic expression to represent the cost

BlackZzzverrR [31]

24.98+12m is the equation

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3 years ago

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Find the values of the variables in the parallelogram. The diagram is not to scale.

Volgvan

Answer:

Step-by-step explanation:

lines are parallel, cut by transversal, so:

x=29° (alternate interior angles)

in a parallelogram, opposite angles are congruent, so:

z=119°

therefore, y=32° since D is the only option where x=29° and z=119°

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3 years ago

I suck at math if you could help me with these questions that would be great

docker41 [41]

Answer:

Part 8) The triangles are not similar (see the explanation)

Part 12) The triangles are not similar (see the explanation)

Part 14) The area is increased by 125%

Part 15) $h=30\ ft$

Step-by-step explanation:

Part 8) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

Find the value of x in the larger triangle

The sum of the interior angles in any triangle must be equal to 180 degrees

$64^o+85^o+x=180^o$

$149^o+x=180^o$

$x=180^o-149^o$

$x=31^o$

Find the value of y in the smaller triangle

The sum of the interior angles in any triangle must be equal to 180 degrees

$26^o+85^o+y=180^o$

$111^o+y=180^o$

$y=180^o-111^o$

$y=69^o$

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 12) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The measure of the interior angles of the triangle of the left are

88°

29° ----> by vertical angles

and

180°-(88°+29°)=63° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The measure of the interior angles of the triangle of the right are

180°-91°=89° ----> the sum of a exterior angle and a interior angle is equal to 180 degrees

29°

and

180°-(89°+29°)=62° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 14) we know that

If two figures are similar then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is 1.5

Because

100%+50%=150%=150/100=1.5

The scale factor squared is $1.5^2=2.25$

That means that the new area is 2.25 times the original area

The area is increased by 125%

Part 15)

Let

h ----> the height of the pine

we know that

The height of the person divided by the length of his shadow is equal to the height of the pine tree divided by the length of its shadow

using proportion

$\frac{6}{3}=\frac{h}{15}$

solve for h

$2=\frac{h}{15}$

$h=2(15)=30\ ft$

6 0

3 years ago

4. -2(x+3y)= 18 Plz help me!!!

OLEGan [10]

Answer:

x+3y=-9

Step-by-step explanation:

-2(x+3y)=18

x+3y=18/-2

x+3y=-9

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2/4 × 6/4 in simplest form

kolezko [41]

Answer:

3/4

Step-by-step explanation:

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4 years ago

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