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2 years ago

In the diagram, AITP - ANGO. Find the values of x and y. y = X=

Mathematics

1 answer:

Zepler [3.9K]2 years ago

7 0

Answer:

x = 25, y = 9

Step-by-step explanation:

Since the triangles are congruent then corresponding angles and sides are congruent, thus

∠ O = ∠ P , substitute values

6y - 14 = 40 ( add 14 to both sides )

6y = 54 ( divide both sides by 6 )

y = 9

and

NG = IT , that is

x - 2y = 7 ( substitute y = 9 into the equation )

x - 2(9) = 7

x - 18 = 7 ( add 18 to both sides )

x = 25

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Simplify. 2(m + 11) 0 24 m O 2 m+ 22 O 2 m+ 11 O 22 m

krek1111 [17]

Answer:

2m + 22

Step-by-step explanation:

Use the distributive property.

2(m + 11)

2 x m = 2m

2 x 11 = 22

Therefore, 2m + 22

3 0

2 years ago

It costs $3 to bowl a game and $2 for shoe rental.

gulaghasi [49]

Expression: 3g+2
cost of 8 games: 3*8=24+2= 26

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2 years ago

2 movie tickets and 1 popcorn cost $29.4 movie tickets and 4 popcorns cost $68. So how much would 3 movie tickets and 5 popcorns

Arisa [49]

Answer:

3 movie tickets would cost 44.8 5 popcorns would cost 85

Step-by-step explanation:

29.4 divided by 2 equals 14.7

29.4 plus 14.7 equals 44.8

68 divided by 4 17

68 plus 17 equals 85

4 0

2 years ago

Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple in

solmaris [256]

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is $197.9

Step-by-step explanation:

In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

$A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3$

$A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58$

Interest is $A-P= 51411.58-43000= 8411.58$ =$8411.58

solving for option B which gives her 6% simple interest annually

the simple interest formula is

$A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68$

Interest is $A-P=51213.68-43000= 8213.68$ = $8213.68

calculating the diference in interest between the two options we have

$8411.58-8213.68= 197.9$ = $197.9

Option A earns higher interest

8 0

2 years ago

You have 12 coins of which you need to flip only 4 heads. If the probability of flipping heads is 35%, what is the probability t

mel-nik [20]

Answer:

33.3333333333

Step-by-step explanation:

One coin would equal over 11 more would be 8.3333333333 so time that by 4

GoodLuck

5 0

2 years ago