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3 years ago

4) Name The Angle Pair Represented And Solve For x. * 37° (6x - 11)

Mathematics

1 answer:

baherus [9]3 years ago

5 0

Answer:

x = 8

Step-by-step explanation:

The attached figure shows the angle pair representation.

Here, two lines are cut by a transversal. It means the corresponding angles are equal i.e.

37 = 6x-11

37+11 = 6x

6x = 48

x = 8

Hence, the value of x is 8.

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Find all the missing elements : C=120degrees<br> b= 5<br> c=11

mezya [45]

Answer:

A = 36.8°

B = 23.2°

a = 7.6

Step-by-step explanation:

Given:

C = 120°

b = 5

c = 11

Required:

Find A, B, and a.

Solution:

✔️To find B, apply the Law of Sines

$\frac{sin(B)}{b} = \frac{sin(C)}{c}$

Plug in the values

$\frac{sin(B)}{5} = \frac{sin(120)}{11}$

Cross multiply

Sin(B)*11 = sin(120)*5

Divide both sides by 11

$sin(B) = \frac{sin(120)*5}{11}$

Sin(B) = 0.3936

B = $sin^{-1}(0.3936)$

B = 23.1786882° ≈ 23.2° (nearest tenth)

✔️Find A:

A = 180° - (B + C) (sum of triangle)

A = 180° - (23.2° + 120°)

A = 36.8°

✔️To find a, apply the Law of sines:

$\frac{sin(A)}{a} = \frac{sin(B)}{b}$

Plug in the values

$\frac{sin(36.8)}{a} = \frac{sin(23.2)}{5}$

Cross multiply

a*sin(23.2) = 5*sin(36.8)

Divide both sides by sin(23.2)

$a = \frac{5*sin(36.8)}{sin(23.2)$

a = 7.60294329 ≈ 7.6 (nearest tenth)

5 0

2 years ago

Help me plsss! Thank you

Brrunno [24]

You want to calculate the interest on $3020 at 5% interest per year after 6 6 month period(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $3020.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....6 month period(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "6 month period(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 6- 6 month period(s), by two (2), since there's two 6-month periods in 1 year.

So, t is 3....year time periods.

To find the simple interest, we multiply 3020 × 0.05 × 3 to get that:

The interest is: $453.00

Usually now, the interest is added onto the principal to figure some new amount after 6 6 month period(s),

or 3020.00 + 453.00 = 3473.00. For example:

If you borrowed the $3020.00, you would now owe $3473.00

If you loaned someone $3020.00, you would now be due $3473.00

If owned something, like a $3020.00 bond, it would be worth $3473.00 now.

4 0

3 years ago

Read 2 more answers

During a sale, a dress is marked down from a selling price of $90 to a sale price $72 what is the percent markup

77julia77 [94]

Answer:

0.089

Step-by-step explanation

5 0

3 years ago

How to completely factor 4x²-2x

schepotkina [342]

Answer:

2x(2x-1)

Step-by-step explanation:

$4 {x}^{2} - 2x \\ \\ = 2x(2x - 1) \\$

8 0

2 years ago

Scale on map is Lin 86 mi if actual distance is 35 mi . Between two cities how far apart on the map are they

Mrac [35]

Answer:

0.41 cm

Step-by-step explanation:

The scale on the map is 1 in 86 mi.

This means that, 1 cm on the map represents 86 miles in real life, or on earth.

Then we're told that in real life, a distance is 35 miles, and how far they are on the map.

If 1 cm equals 86 miles, then we can say that x cm equals 35 miles

1 cm ----> 86

x cm ----> 35

x * 86 = 35 * 1

x = 35 / 86

x = 0.41 cm

Therefore, they must be 0.41 cm farther or closer apart on the map scale.

5 0

2 years ago