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1 year ago

Easy points..........

Mathematics

1 answer:

IRINA_888 [86]1 year ago

5 0

Answer:

38°; 142°; 308°

Step-by-step explanation:

The solution of each question is self-explanatory.

<u>Used properties</u>

Vertical angles are congruent
Angle sum property of circle
Central angle is same as intercepted arc measure

mED = mAB = mAC - mBC = 90° - 52° = 38°

mEA = mBCD = mBC + mCD = 52° + 90° = 142°

mBDC = 360° - mBC = 360° - 52° = 308°

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Which angle is congruent to angle ACB

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2 years ago

3) Find the values of a,b ,c and for y=x^2-9x+18.

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Answer:

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1 year ago

Sheila has 11 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 3/4 pounds

Mice21 [21]

Hello!

<h2>Answer:</h2>

$\boxed{ \bf Sheila~will~need~about~7~containers.}$

__________________________________________________

<h2>Explanation:</h2>

First, we will need to convert the mixed fractions to improper fractions.

Numerators: (2 · 11) + 1 = 23

(4 · 1) + 3 = 7

Denominators: stay the same.

11 $\frac{1}{2}$ ⇒ $\frac{23}{2}$

1 $\frac{3}{4}$ ⇒ $\frac{7}{4}$

Next, we must divide these two fractions:

$\frac{23}{2}$ ÷ $\frac{7}{4}$

We must flip the divisor into a reciprocal:

$\frac{23}{2}$ ÷ $\frac{4}{7}$

Change the division sign to multiplication and multiply:

$\frac{23}{2}$ × $\frac{4}{7}$ = $\frac{92}{14}$

To find out how many containers will be needed, simply convert this fraction to a decimal by dividing the numerator by the denominator.

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5 0

2 years ago

The sum of five different positive integers is 320. The sum of the greatest three integers in this set is 283. The sum of the gr

Nina [5.8K]

Answer:

Step-by-step explanation:

Let a,b,c,d,x represent the five integers in Ascending order.

Given;

The sum of five different positive integers is 320

a+b+c+d+x = 320 .......1

The sum of the greatest three integers in this set is 283

c+d+x = 283 .....2

The sum of the greatest and least integers is 119

a+x = 119 ......3

For the largest possible value;

From equation 3, if a is as low as 1,

x = 119-1 = 118

x = 118

For the least possible value;

Subtract equation 2 from 1

a+b = 320-283 = 37

We know that a cannot be higher than b, so the highest possible value of a is;

a = 37-b

a = 37- 19 = 37-19

a = 18

Substituting into equation 3

x = 119-18 = 101

Difference;

∆x = 118-101 = 17

5 0

2 years ago