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artcher [175]
2 years ago
7

A mother saved 7/8 pie for dinner son ate 1/2 how much is left

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
3 0

Answer:

3/8

Step-by-step explanation:

4/8 = 1/2

Subtract the amount her son ate (1/2 or 4/8) from the total amount and you get 3/8.

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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
A scientist changes the temperature of a solution at a rate of
Elan Coil [88]

Answer:

11 minutes

Step-by-step explanation:

I may be missing something. This is too simple.

88 degree change at 8 degrees per minute = 11 minutes.

5 0
3 years ago
Solve for x. 3x= -2x+30 A. x = 0 B. x = 5 C. x = 6 D. x = 8
soldier1979 [14.2K]

x  =  6  ,  5 ,  −  3 IS THE ANSWER

6 0
3 years ago
What is an independent variable <br><br>what is an dependent variable <br><br><br>​
N76 [4]

An independednt variable is a variable that doesnt need any support Dependent is where there is variable, but it depends on something else.

For example,

y=2x+1

y is dependent, becuase it depend on 2x+1

x is independent, beucase it doesnt need to depend on anything.

8 0
2 years ago
Read 2 more answers
T-shirts at a flea market cost $4.50 each and shorts cost $6 each. You have $108. Write an equation in standard form that models
Art [367]

Answer:

4.50t + 6s = 108

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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