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Lubov Fominskaja [6]
3 years ago
6

Consider the two triangles shown below are the two triangles congruent

Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer: Yes

Step-by-step explanation: Let's first find the missing angle in the second triangle and to find this angle, remember that the sum of the measures of a triangle is 180 degrees so you should find that our missing angle is 67°.

Now, notice that we have two angles and the included side of one triangle

congruent to two angles and the included side of a second triangle.

Therefore, we can say the triangles are congruent by ASA.

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The prism has a volume of 120 cm3. What would the volume of the prism be if each dimension were halved? cm3 Triangular prism wit
Citrus2011 [14]
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
3 0
3 years ago
2x - y2<br> Z-5<br> Evaluate when x = 2, y = 4<br> z=3
kolezko [41]

Answer:

Putting the value in x = 2 , y =4 in 2x - 2y we get,

2 × 2 - 4× 2= 4-8 = -4

Putting the value in z = 3 in z - 5 we get,

z - 5 = 3 - 5 = -2

5 0
3 years ago
Suki gets a job that pays $31000 per year. she is promised a $2200 raise each year. at this rate, what will her salary be in 7 y
kiruha [24]
$232400 Money earned in the next 7 years.

Money earned per year:

$33200 = 1st year

$35400 = 2nd year

$37600 = 3rd year

$39800 = 4th year

$42000 = 5th year

$44200 = 6th year

$46400 = 7th year
5 0
3 years ago
Read 2 more answers
Calculate the volume of the given pyramid to the nearest tenth
ankoles [38]

Answer:(A.)

Step-by-step explanation:The reason why its a its because that 13x8=104x17=1,768/3=589.3. Therefore 589.3 can not be round to the nearest tenth.

4 0
3 years ago
Simplify the following expressions and select the correct answer.<br> 2(x-1)-5(x+9)<br> 5x-5-7x+14
finlep [7]

Answer:

Below

Step-by-step explanation:

● 2 ( x-1) - 5 (x+9)

● 2x - 1 - 5x - 45

● 2x -5x -1 - 45

● - 3x - 46

● 5x - 5 - 7x + 14

● 5x - 7x - 5 + 14

● -2x + 9

5 0
3 years ago
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