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Inessa05 [86]
2 years ago
7

a study of 1,400 cats revealed that 18 out of every 210 cats in the population have black hair. based on the results of the stud

y, how many cats in the population do NOT have black hair?
Mathematics
1 answer:
Bond [772]2 years ago
4 0

Answer:

1280

Step-by-step explanation:

divide 1400 by 210

then multiply by 18

subtract that answer (120) from 1400,

and you get 1280

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Chas and Tyler have been collecting video games. Chas has 25 video games, and Tyler has mm video games. Together they have a tot
Sladkaya [172]

Answer:

Tyler has 40 video games

Step-by-step explanation:

x= chas

y= tyler

z= total

x+y=z

25+y=65

-25      -25

y= 40

8 0
3 years ago
In triangle ABC, ∠ABC=70° and ∠ACB=50°. Points M and N lie on sides AB and AC respectively such that ∠MCB=40° and ∠NBC=50°. Find
Sever21 [200]

Answer:

∠NMC  = 50°

Step-by-step explanation:

The interpretation of the information given in the question can be seen in the attached images below.

In ΔABC;

∠ A + ∠ B + ∠ C = 180°    (sum of angles in a triangle)

∠ A + 70°  + 50°  = 180°

∠ A = 180° - 70° - 50°

∠ A =  180° - 120°

∠ A =  60°

In ΔAMN ; the base angle are equal , let the base angles be x and y

So; x = y   (base angle of an equilateral  triangle)

Then;

x + x + 60° = 180°

2x +  60° = 180°

2x = 180° - 60°

2x = 120°

x = 120°/2

x = 60°

∴ x = 60° , y = 60°

In ΔBQC

∠a + ∠e + ∠b = 180°

50° + ∠e + 40° = 180°

∠e = 180° - 50° - 40°

∠e = 180° - 90°

∠e = 90°

At point Q , ∠e = ∠f = ∠g = ∠h = 90°  (angles at a point)

∠i  = 50° - 40° = 10°

In ΔNQC

∠f + ∠i   + ∠j = 180°

90° + 10° + ∠j = 180°

∠j  = 180° - 90°-10°

∠j  = 180° - 100°

∠j  = 80°

From  line AC , at point N , ∠y + ∠c + ∠j = 180°   (sum of angles on a straight line)

60° + ∠c + ∠80° = 180°

∠c  = 180° - 60°-80°

∠c  = 180° - 140°

∠c  = 40°

Recall that :

At point Q , ∠e = ∠f = ∠g = ∠h = 90°  (angles at a point)

Then In Δ NMC ;

∠d + ∠h + ∠c = 180°   (sum of angles in a triangle)

∠d + 90° + 40° = 180°

∠d  = 180° - 90° -40°

∠d  = 180° - 130°

∠d  = 50°

Therefore, ∠NMC = ∠d  = 50°

3 0
3 years ago
What is a frequency table? Give details.
Elden [556K]

Answer:

A table divided into cells by category with counts for each category in each cell. For example, let's say you were counting the number of cars and trucks that drove down a road each day over a 5-day week. Your categories would be vehicle and day. You could summarise this as a frequency table:

Step-by-step explanation:

6 0
3 years ago
Write an equation to solve the following. Show all your work, including the steps for solving the equation and checking your ans
SpyIntel [72]
Equation
-4x + 16 = -116

solve for x
-4x + 16 = -116

subtract 16 to both sides
-4x + 16 - 16 = -116 - 16

simplify
-4x = -132

divide -4 to both sides
-4x/-4 = -132/-4

simplify
x = 33

answer: the number is 33
4 0
3 years ago
Hi! i don’t really understand this question. if someone could help me i’d appreciate it!
Shkiper50 [21]

Answer:

Step-by-step explanation:

cute it into separate parts then add the areas together

3 0
3 years ago
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