Answer:
-3 <x <-1
Step-by-step explanation:
|x + 2| < 1
There are two solutions, one positive and one negative ( remember to flip the inequality for the negative)
x+2 <1 and x+2 > -1
Subtract 2 from each side
x+2-2 < 1-2 and x+2-2 > -1-2
x < -1 and x >-3
-3 <x <-1
Answer:
The last one..Number 4
Step-by-step explanation:
When u add the two sides it's supposed to be larger than the bigger side
so 13+20 is smaller than 34
Answer: 2 and 2/3
Step-by-step explanation: In this problem, we have 2/3 ÷ 1/4.
Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the divison sign to multiplication and flip the second fraction.
So here, 2/3 ÷ 1/4 can be rewritten as 2/3 × 4/1.
Now we are simply multiplying fractions so we multiply across the numerators or top number number and multiply across the denominators or bottom numbers.
8/3 can be converted into a mixed number by dividing the denominator of the fraction into the numerator of the fraction.
3 divides into 8 2 with a remainder of 2 times so our whole number will be 2 and our new numerator will be 2 as well. We will put this over our original denominator which is 3. Now we have 2 and 2/3.
Answer:
Step-by-step explanation:
From the figure attached,
Given:
Lines AB and CD are intersecting each other at a point E.
To prove:
∠ACB ≅ ∠DEB
Statements Reasons
1). ∠AEC + ∠BEC = 180° 1). Linear pair theorem
2). ∠DEB + ∠BEC = 180° 2). Linear pair theorem
3). ∠AEC + ∠BEC = ∠DEB + ∠BEC 3). Transitive property of equality
4). ∠AEC = ∠DEB 4). Subtraction property of equality