Find the area of the given triangle.

Answer:

In a triangle, sides opposite of congruent angles are congruent.

Answer:

x = 70°, y = 110° , z = 85°

Step-by-step explanation:

∠ BEA and ∠ CDA are corresponding angles and congruent , then

x = 70°

x and y are adjacent angles and sum to 180°

x + y = 180°

70° + y = 180° ( subtract 70° from both sides )

y = 110°

∠ ABE and ∠ ACD are corresponding angles and congruent , then

z = 85°

Here's the solution,

the volume of the given figure is :

=》

[tex]volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)[/tex]

volume of pyramid :

=》

[tex] \dfrac{l \times b \times h}{3} [/tex]

=》

[tex] \dfrac{4 \times 5 \times 6}{3} [/tex]

=》

[tex] \dfrac{120}{3} [/tex]

=》

[tex]40[/tex]

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

[tex]l \times b \times h[/tex]

=》

[tex]4 \times 5 \times 2[/tex]

=》

[tex]40[/tex]

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

The volume of the composite solid will be 80 cubic cm.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of the Pyramid will be given as,

V = (1/3) × Base area × height

Then the volume of the geometry will be

V = L x W x H + (1/3) x Base area x height

V = 5 x 4 x 2 + (1/3) x 4 x 5 x 6

V = 40 + 40

V = 80 cubic cm

Thus, the volume of the composite solid will be 80 cubic cm.

More about the geometry link is given below.

https://brainly.com/question/7558603

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Answer:

8.9cm

Step-by-step explanation:

Volume of a cube = L × L × L = L³

710 = L³

L = ³√710

L= 8.9 cm

The length of each side of Cube is 8.9 cm.

The length is to be multiplied by itself three times to get the volume. The volume is measured in cubic units.

For example, cubic units.

Given:

Volume of a cube is 710 cm.

So, Volume of Cube = l³

710 = l³

l = ∛710

l = ∛ (71 x 10

l = 8.9 cm

Hence, the edge length is 8.9 cm.

Learn more about Volume of Cube here:

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Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554

-4x + y+ 6z

Step-by-step explanation: image below

Complete question :

A city has a higher elevation than Coachella, CA.

Coachella's elevation is 22 feet below sea level (-22 ft.)

Select the four numbers that could represent the city’s elevation. Be prepared to explain your reasoning.

Group of answer choices

-11 feet

4 feet

-8 feet

-35 feet

0 feet

-44 feet

Answer:

- 11 feets

4 feets

0 feets

-8 feets

Step-by-step explanation:

Kindly note, that, elevation below sea level should be represented with negative Integers:

Coachella's elevation = - 22 feets

SINCE it is a stated that city A has a higher elevation than Coachella ;

Therefore, Elevation of city A is greater than - 22 feets

Therefore x from the options possible elevation of city A are :

All values in the option greater than - 22; The numbers include :

-8 feets, 0 feets, - 11 fees, 4 feets

Answer:

250%

Step-by-step explanation:

177.5 / 71 = 2.5

2.5 x 100 = 250%

Divide the number (177.5) by the number you're trying to find the percent of (71) and multiply by 100 to find the percentage.

Answer:

7.20

Step-by-step explanation:

1 cookie = 45 oz sugar

2 cookies = 2×45 oz = 90 oz

3 cookies = 3×45 oz = 135 oz

...

523 cookies = 523×45 oz = 23,535 oz

Answer:

70 square units

Step-by-step explanation:

this rhombus contains four right triangles with legs of 5 and 7 units

the area of one triangle is:

1/2(7)(5) = 17.5

17.5 x 4 = 70

Answer:

Cost of five blouses = $145

Step-by-step explanation:

Let

x = cost of blouse

y = cost of skirt

15x + 2y = 505 (1)

5x + 2y = 215 (2)

Subtract (2) from (1) to eliminate y

15x - 5x = 505 - 215

10x = 290

x = 290/10

x = 29

Substitute x = 29 into (2)

5x + 2y = 215 (2)

5(29) + 2y = 215

145 + 2y = 215

2y = 215 - 145

2y = 70

y = 70/2

y = 35

x = cost of blouse = $29

y = cost of skirt = $35

How much do 5 such blouses cost?

cost of a blouse = $29

Cost of five blouses = $29 × 5

= $145

Cost of five blouses = $145

Answer:

29 square feet?

Step-by-step explanation:

yk im like 99.9% sure this is right, but that other 1% is just doubting me. So all I did to solve this was add up teh sides to find the perimeter of the shape, or in this case, the hole in the ground.

my answer is wrong d o. n o t. put my answer down

Answer:

x = 5

Step-by-step explanation:

If you input the y-value into the equation you get x = 5.

-6x-8(-2) = -14

-6x+16 = -14

-6x+16-16 = -14-16

-6x = -30

(-6x)/-6 = (-30)/-6

x = 5

Answer:

ΔLMN ≅ ΔLQP by (SAA)

Step-by-step explanation:

It is given that line (NM) is congruent to the line (PQ), meaning they have the same measure. This is signified by the small red line on each of these sides.

Moreover, it is also given that angle (MNL) is congruent to angle (QPL), this is shown by the red arc around these angles.

Finally one can figure out that angle (NLM) is congruent to angle (PLQ) by the vertical angles theorem. The verticle angles theorem states that when two lines intersect, the opposite angles are congruent.

Thus the two triangles are congruent by side-angle-angle postulate, abbreviated as (SAA).

Answer:

$417.91

Step-by-step explanation:

Answer is below. Look at my explanation to understand my answer.

To see if these lengths can make a triangle, we can use the "triangle side theorem."

The formula is:

a + b > c

a + c > b

b + c > a

So, with that being said...

15 → A

36 → B

39 → C

So, we can use the triangle side theorem by adding A & B, A & C, and B & C.

If the side length is greater than C, B, or A, it can make a triangle. But if it isn't greater than C, B, or A, it cannot make a triangle.

So, let's add 15 and 36 to see if it can make a triangle.

15 + 36 = 51

If you read above, C is 39.

So, 51 > 39

15 + 36 > 39 ✓

Let's repeat this process again.

Instead of C, B is what we're now seeing if the sum is greater than it.

15 + 39 = 54

54 is greater than 36...

54 > 36

So it is true.

15 + 39 > 36 ✓

Now, A is what we're seeing if the sum is greater than it.

36 + 39 = 75

75 is greater than 15...

75 > 15

So it is true.

36 + 39 > 15 ✓

So yes, these lengths can make a triangle.

Let me know of any questions or concerns.

Answer:

C.

Step-by-step explanation:

Answer: 1870.2

Step-by-step explanation:

Hope this helps!

Answer:

22442 ÷ 12 = 1870.16666.....

Answer:

a=1,

If -a=1, then a =

a=1                                                                              

Answer:

70

Step-by-step explanation:

the formula for area of a trapezoid is (a+b)/2*h, where a and b each equal a base and h represents height. the base measurements of this figure are 9 and 11, and the height is 7 inches. in the formula, that is (9+11)/2*7. first, 9+11 is 20, divided by 2 is 10. 10*7=70, so the area is 70 in^2.

Answer:

x ≈ 12.9

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{x}[/tex] ( multiply both sides by x )

x × tan35° = 9 ( divide both sides by tan35° )

x = [tex]\frac{9}{tan35}[/tex] ≈ 12.9 ( to the nearest tenth )

Ok...so we have this........

y = ax2 + 4      ....... and we need to find "a"

So we have

-1 = a(-10)2 + 4

-5 = a (100)

(-1/20) = a      .......  So we have ..........

y = (-1/20)(x- 0)2 + 4   or just  (-1/20)x2 + 4

Note that this parabola opens downward...That makes sense since the vertex is above the x axis and the parabola passes through a point below the x axis.

Hope This Helped!

I couldn't copy paste the equation on here, so i attached it in pictures.

Answer:

i think its X=108

Step-by-step explanation:

Answer:

x=118°

Step-by-step explanation:

a straight line is 180°

therefore 180-62=x

Answer:

2

Step-by-step explanation:

you need to see

Answer:

7 hours, 28 minutes

Step-by-step explanation:

Answer:

A = 60 and B = 30  

Now, A + B = 60 + 30 = 90  

Also, A – B = 60 – 30 = 30  

sin (A + B) = sin 90 = 1  

sin A cos B + cos A sin B = sin 60 cos 30 + cos 60 sin 30