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makvit [3.9K]
2 years ago
14

The measure of angle 1 is (3x + 10)° In the measure of angle 4 is (4x - 15)°

Mathematics
1 answer:
netineya [11]2 years ago
8 0

∠1 = ∠4 ( vertically opposite angles )

Then :-

3x + 10 = 4x - 15

10 = 4x - 15 - 3x

10 = 1x - 15

1x - 15 = 10

1x = 10 + 15

1x = 25

Which means :-

∠1 =

= 3x + 10

= 3 × 25 + 10

= 75 + 10

= 85°

∠4 =

= 4x - 15

= 4 × 25 - 15

= 100 - 15

= 85°

Then :-

∠7 = ∠6

∠6 + ∠4 = 180° ( interior angles on the same side of transversal )

∠6 + 85 = 180°

∠6 = 180 - 85

∠6 = 95°

As ;

∠6 = ∠7

<h3>∠7 = 95°</h3>

<h2>Therefore , angle 7 = 95° .</h2>

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Tom's stockbroker offers an investment that is compounded continuously at an annual interest rate of 3.7%. If Tom wants a return
Anettt [7]

Answer:

It'll take 38.3 years to obtain the desired return of $25,000.

Step-by-step explanation:

In order to solve a continuosly coumponded interest question we need to apply the correct formula that is given bellow:

M = C*e^(r*t)

Where M is the final value, C is the initial value, r is the interest rate and t is the time at which the money was applied. Since he wants an return of $25,000 his final value must be the sum of the initial value with the desired return. So we have:

(25000 + 8000) = 8000*e^(0.037*t)

33000 = 8000*e^(0.037*t)

e^(0.037*t) = 33000/8000

e^(0.037*t) = 4.125

ln[e^(0.037*t)] = ln(4.125)

t = ln(4.125)/(0.037)

t = 1.4171/0.037 = 38.2991

t = 38.3 years

7 0
3 years ago
Suzy has a collection of quarters and dimes. Together she has 34 coins worth $6.40. How many quarters and how many dimes does Su
vlada-n [284]

Answer:

Quarters = 20

Dimes = 14

Step-by-step explanation:

Dime = x = 10 cent = $0.1

Quarter = y = 25 cent = $0.25

x + y = 34 - - - (1)

0.1x + 0.25y = 6.40 - - - - (2)

From (1)

x = 34 - y

0.1(34 - y) + 0.25y = 6.40

3.4 - 0.1y + 0.25y = 6.40

3.4 + 0.15y = 6.40

0.15y = 6.40 - 3.40

0.15y = 3

y = 3 / 0.15

y = 20

x = 34 - y

x = 34 - 20

x = 14

Quarters = 20

Dimes = 14

3 0
3 years ago
Estimate: 28 2/3 × 4/5 as a fraction<br><br> A. 14<br><br> B. 20<br><br> C. 29<br><br> D. 40
lana66690 [7]

Answer:

B because the answer would be 22 14/15

5 0
3 years ago
Please answer this correctly
PIT_PIT [208]

Which variable is dependent on another variable's value?

-The number of squares Rosa cuts the brownies into because it is dependent on the number of people attending the potluck.

Therefore, the independent variable is p, the number of people attending the potluck.

Hope this helps! :)

7 0
2 years ago
Who walks at a faster rate: Nicole, who walks 60 feet in 10 seconds, or Carey, who walks 42 feet in 6 seconds?
Step2247 [10]

Answer:

Carey walks faster

because if you divide 60 by 10, it equals 6

and if you divide 42 by 6, it equals 7 which makes it a bit faster than Nicole

8 0
2 years ago
Read 2 more answers
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