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3 years ago

complete the proof. give: EH and GI bisect each other. prove: triangle EFI is congruent to triangle HFG

Mathematics

2 answers:

qaws [65]3 years ago

5 0

A. 4. EFI = HFG 4. Vertical angles
5. EFI = HFG 5. SAS
is this it?

Vanyuwa [196]3 years ago

5 0

Given: Line Segment EH and GI bisect each other at F.

To Prove : Δ EFI ≅ ΔHFG

Proof:

In Δ E F I and ΔH F G

E F = F H→→[Given]

G F = F I →→[Given]

∠ E F I ≅ ∠ G F H→→[Vertically opposite angles]

Δ EFI ≅ ΔHFG→→→[Side Angle Side Congruency criterion]

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D= number of dollars

padilas [110]

Unit rate 4:

The table

d n

4 1

8 2

16 4

Unit rate 1/4:

Table

d n

1 4

4 16

16 64

and

The equation n=4d

Unit rate 16:

Equation:

d = 16n

Step-by-step explanation:

The unit in the unit rate is dollars per unit ounces which means that the unit rate calculated by

$Unit\ rate = \frac{dollars}{ounces}$

So,

The first option is the equation:

$d = 16n\\\frac{d}{n} = 16$

The unit rate is 16 dollars per ounce

The second option is the table:

d n

1 4

4 16

16 64

We can take any pair of values of d and n from the table to calculate the unit rate

So taking

d = 1

n=4

$Unit\ rate = \frac{d}{n}\\= \frac{1}{4}$

The unit rate for table is: 1/4 dollars per ounces

Third option is the equation:

n = 4d

$n = 4d$

dividing both sides by n

$\frac{n}{n} = \frac{4d}{n}\\1 = \frac{4d}{n}$

dividing both sides by 4

$\frac{1}{4} = \frac{4d}{4n}\\\frac{d}{n} = \frac{1}{4}$

the unit rate is 1/4 dollars per ounce

Fourth option is the table:

d n

4 1

8 2

16 4

We will take any pair of d and n to find the unit rate

So,

Taking

d = 4

n =1

$Unit\ rate = \frac{d}{n} \\= \frac{4}{1}\\=4$

The unit rate is 4 dollars per unit ounce.

Keywords: Unit rate, units

Learn more about unit rate at:

#LearnwithBrainly

7 0

2 years ago

Morgan has $60 to spend on clothes. he wants to buy a pair of jeans for $25 and spend the rest on t shirts each t shirt costs $5

Mashutka [201]

Answer:

Step-by-step explanation:

Morgan has $60. That is his spending limit.

He buys a pair of jeans for $25.

Each T-shirt is $5

We don't know how many t-shirts he can buy, so we can represent it with a variable, x

so,

$25 + 5x \leq 60\\5x \leq 60 - 25\\5x \leq 35\\x \leq \frac{35}{5} \\x\leq 7$

6 0

2 years ago

If 9: x= x-4, then x= 0 36 18 0 24 6

madam [21]

Answer:

2±√13

Step-by-step explanation:

9/x=x-4

x² -4x - 9=0

x² -4x +4- 13=0

(x -2)²=13

x-2= ±√13

x= 2±√13

3 0

2 years ago

What is the measure for the following angle? AOC

anygoal [31]

Answer:

40 degrees

cuz 40+40=80

7 0

3 years ago

Forty tickets are sold for a raffle with two prizes. You buy two tickets. What is the probability that you will win both prizes?

Trava [24]

Well, the first one is 2/40=1/20. The 2nd one is 1/39. You multiply these to get 1/780.

5 0

3 years ago