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2 years ago

Which operation must be used to solve this equation?

Mathematics

1 answer:

Flura [38]2 years ago

3 0

Answer:

addition

Step-by-step explanation:

as x=23+5

x=28.

I think so this is the ans.

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△klm, lm=20 sqrt 3 m∠k=105°, m∠m=30° find: kl and km

Anarel [89]

Answer:

KL = $\frac{20\sqrt{6}}{1+\sqrt{3}}$ = 17.93

MK = $\frac{40\sqrt{3}}{1+\sqrt{3}}$ = 25.36

Explanation:

According to the Law of Sines:

$\frac{a}{sinA}=\frac{b}{sinB}= \frac{c}{sinC}$

where:

A, B, and C are angles

a, b, and c are the sides opposite to the angles

First of all, let's find m∠L: the sum of the angles of a triangle is 180°, therefore

m∠K + m∠L + m∠M = 180°

m∠L = 180° - m∠K - m∠M

m∠L = 180° - 105° - 30°

m∠L = 45°

Now, we can apply the Law of Sines to our case (see picture attached):

$\frac{LM}{sinK}=\frac{MK}{sinL}=\frac{KL}{sinM}$

Let's solve one side at the time:

$\frac{LM}{sinK}=\frac{MK}{sinL}$

$\frac{20\sqrt{3}}{sin(105)}=\frac{MK}{sin(45)}$

$MK = \frac{20\sqrt{3} }{sin(105)} \cdot sin(45)$

MK = $\frac{40\sqrt{3} }{1+\sqrt{3} }$ = 25.36

Similarily:

$\frac{LM}{sinK}=\frac{KL}{sinM}$

$\frac{20\sqrt{3}}{sin(105)}=\frac{KL}{sin(30)}$

$KL = \frac{20\sqrt{3} }{sin(105)} \cdot sin(30)$

KL = $\frac{20\sqrt{6}}{1+\sqrt{3}}$ = 17.93

8 0

2 years ago

Secants ⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ intersect in the exterior of a circle. The measures of ⏜ and ⏜ are 112.54° and 26.32°, respective

Veseljchak [2.6K]

Answer:

C. 43.11°

Step-by-step explanation:

The formula to use in finding m<BCD = ½ the difference of the intercepted arcs AE and BD

Thus:

m<BCD = ½(AE - BD)

m<BCD = ½(112.54 - 26.32)

m<BCD = ½(86.22)

m<BCD = 43.11°

5 0

2 years ago

The data value x exists in two data sets: A and B. The mean is equal for both data sets. If the standard deviation for set A is

liubo4ka [24]

Answer:

answer is B

it is less than Zx for set B

Step-by-step explanation:

7 0

2 years ago

Which phrase represents 3p 6/7p-9

sammy [17]

(3p + 6) divided by (79 - 9)

5 0

2 years ago

You pay a registration fee and a monthly fee to join a local fitness center. The table shows the total cost of joining the fitne

Alekssandra [29.7K]

Answer:

100 divided by 3=33.33 therefore 33.33 per month

Step-by-step explanation:

Equation:

33.33x9= 299.97

This is for 9 months

3 0

2 years ago