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schepotkina [342]
3 years ago
10

(a) 4x - 3y = 6,

Mathematics
1 answer:
shusha [124]3 years ago
8 0
A.4x=3y+6 we found the x that x=+3/4+3/2
Then we substitute x=+3/4+3/2 to the second equation (7x+3y=27)and we do the calculations to find y
7(3/4+3/2)+3y=27
21/4y+21/2+3y=27
21y+42+12y=108
33y=66
Y=2
We substitute y (2) to the first equation 4x-3y=6 to find x
4x -3(2)=6
4x=12
X=3
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WILL MARK BRAINLIEST!
Artist 52 [7]

Answer:

Following are the responses to the given points:

Step-by-step explanation:

Dilation implies the triangle \Delta XYZ stretched through the factor "2".  

m\angle Y = m\angle C = 90^{\circ} \leftarrow given \\\\  

right triangles:

\Delta  XYZ and \Delta  ACB \\\\\angle X \cong \angle A \leftarrow given\\\\

complementary angles:  

\angle X \ and\  \angle Z

m\angle Z = 90^{\circ} - m\angle X \\\\

complementary angles:

\angle A \ and\  \angle B

m\angle B = 90^{\circ} - m\angle A \\\\\therefore \\\\ \angle Z \cong \angle B \\\\\Delta  XYZ \sim  \Delta ACB \\\\

Same triangles: proportional side are corresponding, congruence angles are respective.

\sin \angle X = \frac{5}{5.59} \leftarrow given \\\\\sin\angle X = \frac{YZ}{XY} \\\\YZ = 5 (units) \rightarrow leg in \Delta XYZ \\\\XZ = 5.59 (units) \rightarrow hypotenuse \ in\  \Delta XYZ\\\\

Calculating the length of leg XY:

XY = \sqrt{((5.59)^2 - 52)} \cong 2.4996 (units)\\\\\frac{CB}{YZ} = 2 \leftarrow given \\\\CD = 2YZ = 2 \times 5 = 10 \ (units)\\\\\frac{AC}{XY} = 2 \leftarrow  \ given\\\\AC = 2XY \cong 2 \times  2.4996 \cong 4.999\  (units)\\\\

3 0
2 years ago
HELPS PLS ryad borrowed $1450 and made 18 payment of $95.25 how much did he pay in interest?
BaLLatris [955]
First calculate total payments
18×95.25=1,714.5

After that to find the interest you just subtract the amount borrowed from the total payments
Interest=1,714.5−1,450=264.5

Hope it helps!
3 0
3 years ago
What is the solution of
Artemon [7]

Yo sup??

we can simply try option verification for this problem.

when x=0 we get,

1 and 1≠5 therefore x=0 is not a solution.

when x=1 we get

√6-1≠5 therefore x=1 is not a solution.

when x=16 we get

9-4=5 therefore x=16 is a solution

Hence the correct answer is option C

Hope this helps.

3 0
3 years ago
Work
liubo4ka [24]

Answer:

Step-by-step explanation:

the quotient of is the result of dividing two terms

The first term is - Twice a number t: 2t

The second term is - and 12: 12 2t÷12or 2t12

7 0
2 years ago
How many​ one-to-one correspondences are there between two sets with 5 elements​ each?
Fittoniya [83]
1st element can be matched with 5
2nd element can be matched with 4
3rd element can be matched with 3
etc.
Total number of correspondences = 5*4*3*2*1 = 120
7 0
3 years ago
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