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3 years ago

Need to know this answer !!!!

Mathematics

1 answer:

Lostsunrise [7]3 years ago

3 0

Answer:

x=22

Step-by-step explanation:

2x-24=x-2

2x-x-24=2

2x-x=-2+24

x=22

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Eugene spent $14 on a magazine and some candy bars. if theagazine cost $6 and each candy bar cost $2 then hpw many candy bar did

Inessa05 [86]

14=6+2x
subtract 6 from both sides
8=2x
divide both sides by 2
x=4 candy bars

5 0

3 years ago

Length of the median CP

ehidna [41]

Given:

ΔABC $\sim$ ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

$$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}$

$$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}$

Do cross multiplication.

$$\Rightarrow 12(2x+8)=16(3x-12)$

$$\Rightarrow 24x+96=48x-192$

Add 192 on both sides.

$$\Rightarrow 24x+96+192=48x-192+192$

$$\Rightarrow 24x+288=48x$

Subtract 24x from both sides.

$$\Rightarrow 24x+288- 24x=48x- 24x$

$$\Rightarrow 288=24x$

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

= 36 - 12

= 24

The length of median CP is 24.

7 0

3 years ago

Find the volume of these rctangular prisms length=6.4mm width=2.5mm hight=7mm step by step pls

Soloha48 [4]

Answer:

The volume of this rectangular prism is 112mm.

Step-by-step explanation:

$volume \: = \: length \times width \times height \\ v = 6.4mm \times 2.5mm \times 7mm \\ v = 112mm$

4 0

2 years ago

Plss help me and explaim too

masya89 [10]

Answer:

a = b = 1

Step-by-step explanation:

The triangles are similar thus ratios of corresponding sides are equal, that is

$\frac{10}{2}$ = $\frac{5}{b}$ ( cross- multiply )

10b = 10 ( divide both sides by 10 )

b = 1

and

$\frac{10}{2}$ = $\frac{5}{a}$ ( cross- multiply )

10a = 10 ( divide both sides by 10 )

a = 1

Thus a = 1 and b = 1

3 0

3 years ago

Find the measures of the interior angles of the triangle.

jeka94

Answer:

∠A = 30°

∠B = 60°

∠C= 90°

Step-by-step explanation:

This is a right triangle, you can see it mainly by the red square in C, and it is always used to mark 90 degrees.

Knowing that, you now know ∠C is 90°

Now, to find ∠B, you should use the following equation:

A+B+C = 180°

This means that the sum of the three angles of a triangle gives 180. ALWAYS. So to find the missing angle, ∠B, do the following:

Fill the values of the equation with the angles you now know:

30° + B + 90° = 180

Solve the equation, passing the 30° and 90° to the other side of the equal sing with Inverse Operation:

B = 180° - 30° - 90°

B = 60

Hope it helps!!

3 0

3 years ago