Answer:
It is impossible for a number to be both less than 1 and greater than or equal to 3, so the compound inequality has NO SOLUTION.
Step-by-step explanation:
The word "and" tells us that we are looking for all values of x that satisfy BOTH inequalities simultaneously.
3x + 5 < 8 and 2x + 5 ≥ 11
3x < 3 and 2x ≥ 6
x < 1 and x ≥ 3
It is impossible for a number to be both less than 1 and greater than or equal to 3, so the compound inequality has NO SOLUTION.
Answer:
p=28
Step-by-step explanation:
5p=140
To to find the value of p divide both sides by 5 (5p/5 and 140/5)
p=28!
Since the slope intercept form formula is y=Mx+b, your slope will be 3 and your starting point will be 0 because there’s no b. Mx is your slope and b is your y intercept.
Answer:
The measure of ∠c is 50°.
Step-by-step explanation:
When it comes to problems like these, there are two types of angles that should be kept in mind: complementary angles and supplementary angles.
Complementary angles are angles that add up to 90° (a right angle). Supplementary angles are angles that add up 180° degrees (a straight angle). A good way to recall this information in layman's terms is to remember this: complements are always right.
So now let's apply what we've learned to the problem. We have a straight angle that is composed of two 65° angles and an unknown C angle. We know that when angles add up to 180°, they're supplementary angles.
<u>If we interpret our problem in algebriac form, we can say that:</u>
65° + 65° + m∠C = 180°
<u>Now we just solve this problem like any other algebriac equation. First, you can combine like terms.</u>
130° + m∠C = 180°
<u>Then, subtract 130° on both sides to isolate our variable.</u>
m∠C = 50°
<u>Now we can safely say that the measure of angle C is 50°.</u>
The product of 289 and 7 is 2023
So 2023 is in between the pair of numbers 2022 and 2024
or even in between the pair of numbers 2020 and 2025. You can make a lot of pairs, haha.