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Morgarella [4.7K]
4 years ago
13

URGENT! Please help me with this question!!!!!

Mathematics
1 answer:
Artist 52 [7]4 years ago
7 0

Answer:

\boxed{GJ = 76 \ degrees}

Step-by-step explanation:

According to Angles of intersecting chords theorem:

∠GAJ = \frac{1}{2} (BD+GJ)

Where ∠GAJ = 50 , BD = 24 and GJ = ?

50 = \frac{1}{2} (24+GJ)

Multiplying both sides by 2

100 = 24 + GJ

GJ = 100-24

GJ = 76 degrees

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A wire 18 cm long is cut into two pieces. The longer piece is 6 cm longer than the shorter piece. Find the length of the shorter
Yuliya22 [10]

Answer:

shorter piece = 6. longer piece = 12

Step-by-step explanation:

short piece = s

long piece = l

l+s= 18

l= 6+s , substitute

6+s+s = 18

6+2s= 18

2s= 18-6

2s= 12

s=12/2

s= 6= shorter piece

l= 6+s

l= 6+6= 12 = longer piece

7 0
3 years ago
Jay places $3200 in an investment account earning 4.1% interest compounded weekly. How much money would he have in the account a
jasenka [17]

Answer:

A = $3,926.71

Step-by-step explanation:

Given: Principal (P) = $3200, Annual Rate (R) = 4.1%, Time = 5 years

To find: How much money would he have in the account after 5 years, if he made no deposits or withdrawals during that time?

Formula: A = P(1 + r/n)^nt

Solution: Compound interest is one of the most important concepts to understand when managing your finances. It can help you earn a higher return on your savings and investments, but it can also work against you when you're paying interest on a loan

First, convert R as a percent to r as a decimal

r = R/100

r = 4.1/100

r = 0.041 rate per year,

Then solve the equation for A

A = P(1 + r/n)^{nt}

A = 3,200.00(1 + 0.041/12)^{(12)(5)}

A = 3,200.00(1 + 0.003416667)^{(60)}

A = $3,926.71

Hence, Jay would have $3,926.71 after 5 years is if he made no deposits or withdrawals during that time.

3 0
3 years ago
How do you find standard deviation?
Mila [183]
You first work out the mean then for each number subtract the mean and square the result then work out the mean of those squared differences and take the square rot of that and you're done :)
3 0
4 years ago
the length of a rectangle is 1 inch more than twice its width. if the perimeter of the rectangle is 74 inches, find the dimensio
Tatiana [17]
L = 2W + 1..................(1)
2L + 2W = 74
2L = -2W + 74..............(2)   Adding  (1) and (2):-

3L = 75
L = 75/3 = 25

W = (25 - 1) / 2 = 12

length is 25 inches and width = 12 inches
7 0
3 years ago
The equation 3x+4=5x-4 has the solution set {4}. explain why the equation (3x+4)+4=5x-4)+4 also has the solution set {4}
cestrela7 [59]
Notice that the terms in parentheses on both sides of the equation are added to 4.

(3x + 4) + 4 = (5x - 4) + 4


So we can set the equation as.

3x + 4 = 5x - 4


Subtract 3x on both sides of equation.

4 = 2x - 4


Add 4 on both sides of equation.

8 = 2x


Divide both sides of equation by 2.

4 = x


4 is the only value that satisfies the statement.
5 0
3 years ago
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