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goldenfox [79]
3 years ago
7

It is given that trapezoid EFGH is an isosceles trapezoid. We know that FE ≅ GH by the definition of

Mathematics
1 answer:
jeyben [28]3 years ago
3 0

Answer:

1. isosceles trapezoid

2.  FEH

3.  GHE

4. Reflexive

5. SAS

Step-by-step explanation:

Edg2020!!

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Help me someone:((!!!!!
LiRa [457]

Answer:

Hope this helps!

Step-by-step explanation:

2L + 3S = 83

 

4L + 8S = 197

 

Multiplies the top equation by -2.

-4L + -6S = -166

 

4l  + 8S = 197

 

 

Adding them together...

 

2S = 31

 

S = 31/2 = 15.5

 

Plugging into the first equation:

 

 2L + 3S = 83

 

 2L + 3(15.5) = 83

 

2L + 46.5 = 83

 

2L = 83 - 46.5

 

2L = 36.5

 

L = 36.5/2 = 18.25

 

check:

 

2L + 3S = 2(18.25) + 3(15.5) = 36.5 + 46.5 = 83

 

4L + 8S = 4(18.25) + 8(15.5) = 73 + 124 = 197

 

The Large box weighs 18.25

The small box weighs 15.5

6 0
2 years ago
In ΔIJK, k = 57 inches, i = 37 inches and ∠J=141°. Find ∠I, to the nearest degree.
Sonbull [250]

Answer:

<I= 15degrees

Step-by-step explanation:

Using the cosine rule formulae;

j² = i²+k²-2i cos <J

j² = 37²+57² - 2(37)(57)cos <141

j² = 1369+ 3249- 4218cos <141

j² = 4618- 4218cos <141

j² = 4618-(-3,278)

j²= 7,896

j = √7,896

j = 88.86inches

Next is to get <I

i² = j²+k²-2jk cos <I

37² = 88.86²+57² - 2(88.86)(57)cos <I

1369 = 7,896.0996+ 3249- 10,130.04cos <I

1369 = 11,145.0996 - 10,130.04cos <I

1369 - 11,145.0996 = - 10,130.04cos <I

-9,776.0996=- 10,130.04cos <I

cos <I =9,776.0996 /10,130.04

cos<I = 0.96506

<I = 15.19

<I= 15degrees

8 0
2 years ago
Solve the proportion 15/6 = 10/p
V125BC [204]

Answer:

  p = 4

Step-by-step explanation:

The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)

<h3>Cross multiply</h3>

This means multiply both sides of the equation by the product of the denominators:

  (15/6)(6p) = (10/p)(6p) . . . . "cross multiply"

  15p = 60 . . . . . . simplify

<h3>Second step</h3>

Now, divide by the coefficient of the variable.

  15p/15 = 60/15

  p = 4

The solution is p = 4.

__

<em>Additional comment</em>

If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.

__

For example, to solve ...

  2/5 = p/10

you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.

__

Any proportion can be written 4 ways:

  \dfrac{a}{b}=\dfrac{c}{d}\ \Leftrightarrow\ \dfrac{a}{c}=\dfrac{b}{d}\ \Leftrightarrow\ \dfrac{b}{a}=\dfrac{d}{c}\ \Leftrightarrow\ \dfrac{c}{a}=\dfrac{d}{b}

This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:

  6/15 = p/10   ⇒   p = 10(6/15) = 4

4 0
1 year ago
Read 2 more answers
The prime factors of a composite number must be less than a square root of the composite number. True or False?
Oksi-84 [34.3K]

Answer: It depends on what you're asking. If it can be equal, then yes. If it must be less, then no.

Step-by-step explanation:

Every composite number has a square root equal or less than its square root.

7 0
2 years ago
Write the percent as a fraction and as a decimal.<br> 139​%<br> What is the fraction​ equivalent?
Bess [88]

Answer:

139/100

Step-by-step explanation:

3 0
3 years ago
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