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Leto [7]
3 years ago
10

What are the values of x and y in the parallelogram?

Mathematics
1 answer:
postnew [5]3 years ago
6 0

9514 1404 393

Answer:

  x = 60

  y = 30

Step-by-step explanation:

Adjacent angles are supplementary.

  (5x -180) +x = 180

  6x = 360 . . . . . . . . . . add 180, collect terms

  x = 60 . . . . . . . . divide by 6

Opposite angles are congruent.

  2y = 60 . . . . . . 2y = x

  y = 30 . . . . . . . .divide by 2

The value of x is 60; the value of y is 30.

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dusya [7]
Where's the table. you need it to answer the questions.
4 0
3 years ago
What is the sum if the first 22 terms of the following series? 86 + 79 + 72 + 65 +58+...
Arturiano [62]
Seems to be an arythmetic sequence
Sn=[n(a1+an)]/2
where
Sn means sum of all terms up the nth term
n=number of terms
a1=first term
an=nth term

so from 86 to the 22th term is from a1 to a22

find teh sequence
miknus 7 each time
an=a1+d(n-1)
an=87-7(n-1)
find 22n term
a22=87-7(22-1)
a22=87-7(21)
a22=87-147
a22=-60

S22=[22(87-60)]/2
S22=[22(27)]/2
S22=594/2
S22=297

the sum is 297

5 0
3 years ago
Please help-help-help
disa [49]
I think the answer is C
3 0
2 years ago
Is the function even odd or neither?
Mandarinka [93]

The answer is the first option: Even.

The explanation for this exercise is shown below:

1. By definition, if f(x)=f(-x) the fucntion is even.

2. When the graph is symmetric with respect to the y-axis, it is an even function.

3. As you you can see in the graph attached in the problem, the graph is symmetric about the y-axis. Therefore, you can conclude it is an even function.

5 0
2 years ago
HELP++++++++++++++++++++++++
lys-0071 [83]

Answer:

ASA

ΔFGH ≅ ΔIHG ⇒ answer B

Step-by-step explanation:

* Lets revise the cases of congruence  

- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  

 including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  

 ≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles  

 and one side in the 2ndΔ  

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

 leg of the 2nd right angle Δ

* Lets prove the two triangles FGH and IHG are congruent by on of

 the cases above

∵ FG // HI and GH is transversal

∴ m∠FGH = m∠IHG ⇒ alternate angles

- In the two triangles FGH and IHG

∵ m∠FHG = m∠IGH ⇒ given

∵ m∠FGH = m∠IHG ⇒ proved

∵ GH = HG ⇒ common side

∴ ΔFGH ≅ ΔIHG ⇒ ASA

* ASA

 ΔFGH ≅ ΔIHG

3 0
3 years ago
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