Answer:
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Step-by-step explanation:
The inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
<h3>Writing linear inequalities </h3>
From the question, we are to match the statements with the corresponding inequalities
- Nora's height(x) is at least 5 cm less than Stacy who is 100 cm tall
x ≤ 100 -5
x ≤ 95
- Temperature(x) is greater than the boiling point of water (100 °C)
x > 100
- John buys x chocolates worth $5 each but he has only $100 in his pocket
5x ≤ 100
- Ronny decided not to exceed 100L of water usage and ends up using at least 1/5th of this limit every day
x ≤ 100
and
x ≥ 1/5 × 100
x ≥ 20 ≡ 20 ≤ x
∴ 20 ≤ x ≤100
Hence, the inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
Learn more on Writing inequalities here: brainly.com/question/1447311
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There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have
104 = 8•13
195 = 15•13
so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.
Then the sum we want is

or equivalently,
(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)
To compute these sums, recall the following formula:

Then

and

which means the sum we want is 14,950 - 1,196 = 13,754.
Giving you virtual head pats and prayers
Step-by-step explanation:
a) BEC=90°(right angle triangle)
total degrees of a triangle is 180°
therefore let the missing angle be x
it will be 90+27+x=180
value of X=63°
therefore <BCE=63°
b) since ΔBAD is an
isosceles triangle
ABE must also be 52°total degrees of a triangle is 180°
let the missing angle be Y
it will be 52+52+Y=180
value of Y is 76
therefore <BAD=76°