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VashaNatasha [74]
3 years ago
11

Find the value of x in the parallelogram

Mathematics
2 answers:
Alexxandr [17]3 years ago
5 0
A. 8 as the labeled lengths will be the same;2x8=16
max2010maxim [7]3 years ago
4 0
A 8 as the 2 labelled lengths will be the same; 2 x 8 = 16
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****WILL GIVE BRAINLIEST TO FIRST ANSWERER****
xz_007 [3.2K]
Let's plug in each coordinate and see what we get:

(2, 0, 0)
-> 2A + 0 + 0 = D
-> 2A = D
-> A = D/2

(0, 6, 0)
-> 0 + 6B + 0 = D
-> 6B = D
-> B = D/6

(0, 0, 5)
-> 0 + 0 + 5C = D
-> 5C = D
-> C = D/5

plugging this back into the equation:
(D/2)x + (D/6)y + (D/5)z = D    [then divide through by D]
(1/2)x + (1/6)y + (1/5)z = 1
and since we have to have integer coefficients, 
multiply through by 30

so we get
15x + 5y + 6z = 30



Second question

<span>Take a look at the bottom-left point in the picture.
If you move three points in the y-direction, you'll reach to the  point A.
 If you instead move up 4 points (or in the z-direction), you reach D.
And finally, if you walk back to point F from point E, you'll have moved back 4 points in the x direction. </span>

<span>This gives us our measurements, or dimensions: 3 x 4 x 4.
If this were a rectangular prism, the dimensions would just be each of them multiplied.
 But since it's triangular, you need to divide it by two. That gives you a total volume of
(3x4x4)/2 = 24.</span>

5 0
3 years ago
Based on the information given say whether or not △ABC∼△FED. Explain your reasoning.
GalinKa [24]

Answer:

Yes, △ABC ∼ △FED by AA postulate.

Step-by-step explanation:

Given:

Two triangles ABC and FED.

m∠A = m∠B

m∠C = m∠A + 30°

m∠E = m∠F = x

m∠D = 2x-20°.

Now, let m∠A = m∠B = y

So, m∠C = m∠A + 30° = y+30

Now, sum of all interior angles of a triangle is 180°. Therefore,

m∠A + m∠B +  m∠C = 180

y+y+y+30=180\\3y=180-30\\3y=150\\y=\frac{150}{3}=50

Therefore, m∠A = 50°, m∠B = 50° and m∠C =  m∠A + 30° = 50 + 30 = 80°.

Now, consider triangle FED,

m∠D+ m∠E + m∠F = 180

2x-20+x+x=180\\4x=180+20\\4x=200\\x=\frac{200}{4}=50

Therefore,  m∠F = 50°  

m∠E = 50° and  

m∠D =  2x-20=2(50)-20=100-20=80\°

So, both the triangles have congruent corresponding angle measures.

m∠A = m∠F = 50°

m∠B = m∠E = 50°

m∠C = m∠D = 80°

Therefore, the two triangles are similar by AA postulate.

5 0
3 years ago
Find the product of 543.1187 and 100 A. 5.431187 B. 54,311.87 C. 5,431.187 D. 54.31187 Can someone also explain how they came up
Katyanochek1 [597]
543.1187\times100=\boxed{54311.87}

When you're multiplying by a power of 10 such as 100, the decimal point moves two places to the right. Note that this corresponds with the number of zeroes in 100. Of course our number is going to get bigger, not smaller, which means we'd have to be going right. If we multiplied by something like 0.001, we'd also be going two places, just going smaller and to the left.
7 0
2 years ago
Read 2 more answers
Enola owns a small business selling ice-cream. She knows
S_A_V [24]

Answer:

5.65................................

Step-by-step explanation:

6 0
2 years ago
A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme
Yanka [14]

Answer:

Part A: The temperature must be greater than -40, and lower than 140.  -40 < T < 140

Part B: The graph is a number line between -40 and 140, with open circles at -40 and 140.  The solutions are temperatures at which the gas will remain liquid.

Part C: No, -49 is less than -40, so the gas would have frozen.

Hoped it helped:)

Mark brainly plz.

7 0
2 years ago
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