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Ghella [55]
1 year ago
7

Question:

Mathematics
1 answer:
AleksandrR [38]1 year ago
4 0

Answer:

x=8 and y=3 (So, yes!)

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

−x+4y=4;−x+3y=1

Step: Solve −x+4y=4 for x:

−x+4y+−4y=4+−4y(Add -4y to both sides)

−x=−4y+4

-x/-1 = -4y+4/-1 (Divide both sides by -1)

x=4y−4

Step: Substitute 4y−4 for x in −x+3y=1:

−x+3y=1

−(4y−4)+3y=1

−y+4=1(Simplify both sides of the equation)

−y+4+−4=1+−4(Add -4 to both sides)

−y=−3

-y/-1 = -3/-1 (Divide both sides by -1)

y=3

Step: Substitute 3 for y in x=4y−4:

=4y−4

x=(4)(3)−4

x=8(Simplify both sides of the equation)

<u>Answer:</u>

x=8 and y=3

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In rhombus FGHJ, m∠1=37°.<br><br> What is m∠2?
777dan777 [17]

Answer:

m∠2 = 53°

Step-by-step explanation:

We will use two properties of a rhombus to solve this problem.

1). Opposite angles of a rhombus are equal.

2). Diagonals bisect the angles.

Since ∠JFG and ∠JHG are the opposite angles of the rhombus,

m∠JFG = m∠JHG

Since, diagonal FH bisect ∠JHG,

m∠FHJ = m∠GHF = m∠JFH = m∠GFH = 37°

In triangle JFH,

m∠FHJ + m∠JFH + m∠HJF = 180°

37° + 37° + m∠HJF = 180°

m∠HJF = 180 - 74

            = 106°

Since, diagonal GJ bisects angle HJF,

m∠FJG = \frac{106}{2} = 53°

Therefore, m∠2 = 53°.

5 0
2 years ago
Read 2 more answers
Can anyone help me with this?
Akimi4 [234]
1) 2/5
2) 3/7
3) - 7/18
4) 3/5
5) - 5/18
6) 8/21
7) 2/5
8) -5
9) 9
10) 4 1/2
11) - 77/20
12) 6 10/21

By the way, to write questions 3,5 and 11, you write on the page,
(This is for Question 11)
   
   77
- ----
   20
7 0
3 years ago
A teen estimates that she sleeps 8 hours per day. What fraction of the day does the teen sleep? Write the fraction in simplest f
8090 [49]
There are 24 hours in a day.
Sleeping 8 out of those 24 hours means a fraction of 8/24.
8/24 = 4/12 = 2/6 = 1/3
So sleeping 8 hours a day means sleeping for 1/3 of the day.
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Really just need assistance at this point ??
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I think the answer is B. Angle 2 and 7
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