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3 years ago

Find the missing length. If needed route to the nearest 10th. The length of X is? PLEASE ANSWER AND EXPLAIN PLEASEEE

Mathematics

1 answer:

yaroslaw [1]3 years ago

5 0

Answer:x =8.3

Step-by-step explanation:

Triangle ABG is similar to triangle DBE. This means that the ratio of the length of each side of ∆ABG to the length of the corresponding side of ∆DBE is constant. Therefore,

AB/DB = BG/BE = AG/DE

AB = 11

BG = 10 + x

Therefore,

11/6 = (x + 10)/10

Cross multiplying, it becomes

6(x + 10) = 11 × 10

6x + 60 = 110

Subtracting 60 from left hand side and the right hand side of the equation, it becomes

6x + 60 - 60 = 110 - 60

6x = 50

Dividing the left hand side and the right hand side of the equation by 6, it becomes

6x/6 = 50/6

x = 8.3 rounded up to the nearest tenth

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Figure ABCD is a parallelogram. What is the value of n?

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Answer

Find out the what is the value of n.

To prove

By using the parallelogram property .

In parallelogram opposite angels are congruent .

As shown in the figure .

∠B = ∠ D

As given

∠B = (2n + 32)°

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(2n + 32) = (4n - 2)

solving the above

4n -2n = 32 +2

2n = 34

$n = \frac{34}{2}$

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Therefore the value of n is 17 .

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3 years ago

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43 - mile taxi ride = at least 49 minutes

Step-by-step explanation:

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3 years ago

Find the value(s) of h for which the vectors are linearly dependent. Justify your answer. [Start 3 By 1 Matrix 1st Row 1st Colu

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Answer:

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Step-by-step explanation:

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3 years ago

Find the difference PLSSSSSSSSSSSSSSSSSSSSSSSSS

Aneli [31]

Answer:

-1 5/9

Step-by-step explanation:

so first, simplify the signs so they don’t confuse you,

-5/6 - 17/18 + 2/9 (Since there are two negatives near the end, and their tecxhnically being mulitplied, -2/9*-1 (I added 1 for place holder) and when you multiply a negatives by a negative, you get a positive.

So find the lcm of the denominators which is 18 in this case

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2 years ago

Read 2 more answers

g Given the system of equations: 15 c1 – 5 c2 – c3 = 2400 - 5 c1 + 18 c2 – 6 c3 = 3500 - 4 c1 - c2 + 12 c3 = 4000 (a) Calculate

denpristay [2]

Answer

(a)

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

(b)

$A^{-1} b = \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

Step-by-step explanation:

Remember that when you want to solve a problem like this, you express the equation as following

$Ax = b$

So, if you know the inverse of $A$ then

$x = A^{-1} b$

For this case

$A = \begin{pmatrix} 15 && 5 && -1 \\ -5 && 18 && -6 \\ -4 && -1 && 12 \end{pmatrix}$

Now for this case the inverse of A would be

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

Then when you multiply with the vector solution

$A^{-1} b = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix} * \begin{pmatrix} 2400 \\ 3500 \\ 4000 \end{pmatrix} = \frac{1}{3493} \begin{pmatrix} 249500 \\ 1197600 \\ 1347300 \end{pmatrix}\\\\\\= \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

So from that information you can conclude that the solution to the system of equations is x = 500/7 y = 2400/7 and z = 2700/7

7 0

3 years ago