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3 years ago

Any suggestions or answers

Mathematics

2 answers:

S_A_V [24]3 years ago

6 0

Answer:

c)x=7

Step-by-step explanation:

a) MNK=RTP

b)NM

c)x=?

20=3x-1

3x=21

x=7

Bumek [7]3 years ago

6 0

MNK is congruent to RTP
TR is congruent to NM
solve for x:
3x-1=20
add 1 to both sides
3x=21
divide both sides by 3
x=7
x=

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2.) I am a two-digit number that can be referred to as a perfect square. The sum of my two digits is 10. What number am I?

Scorpion4ik [409]

Answer: 64

Step-by-step explanation:

By definition, a perfect square is the square of a whole number.

The information given in the problem that you must keep on mind is:

- The number has two digits.

- The number is a perfect square ( Is obtained by squaring a whole number).

- The sum of its two digits is 10.

The number 64 is formed by the digit 6 and the digit 4. The sum of both digits is:

$6+4=10$

The number 64 can be written as:

$64=8*8=8^2$

Then, it is perfect square.

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3 years ago

A boat attempts to sail due east at 15km/h, but is taken off course by a current of 5 km/h flowing in the southwest direction. F

SCORPION-xisa [38]

Answer:

Resultant speed = 12 km/h.

Bearing is 107.14 degrees.

Step-by-step explanation:

This can be represented by a triangle of velocities with lengths 15 and 5 with the included angle = 45 degrees.

To find the velocity of the resultant we use cosine rule:

v^2 = 15^2 + 5^2 - 2*5*15cos 45

v^2 = 143.934

v = 12.0 km/h to the nearest tenth.

To find the bearing we use the sine rule to find the angle down from due east>

12 / sin 45 = 5/ sin x

sin x = 5 sin 45 / 12 = 0.2946278

x = 17.14 degrees.

Bearing is therefore 90 + 17.14 = 107.14 degrees.

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2 years ago

The table below shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the sam

Amiraneli [1.4K]

Answer:

The equation is:

$j/g=5/2$

Or, what is equivalent:

$j=5g/2$

Explanation:

This is the table that shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe:

Lemon juice (mL) Sugar (g)

Batch A 500 200

Batch B 750 300

Batch C 1500 600

You need to write an equation to describe the relationship between j, the amount of lemon juice in mL and s, the amount of sugar in g.

Calculate some ratios, to determine the kind of relation between the amount of juice and the amount of sugar in the recipe.

Batch A: lemon juice / sugar = 500 / 200 = 5/2

Batch B: lemon juice / sugar = 750/300 = 5/2

Batch C: lemon juice / sugar = 1500/600 = 5/2

Hence, the amount of juice, j, and the amound of sugar, s, are proportional and the constant of proportionality is 5/2. From this, the equation is:

$j/g=5/2$

Or, what is equivalent (solving for j):

$j=5g/2$

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2 years ago

Solve the following system of equations by substitution and select the correct answer below:

Cerrena [4.2K]

Answer:

Step-by-step explanation:

Start with variable x.
4x - 6y = 28
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8x - 4y = 24
Substitute variables
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2 years ago

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2 years ago