Answer:
There were 62 deaths
Step-by-step explanation:
In this question, we are asked to calculate the number of robberies in 2012.
From the question we can identify that the number of robberies were up 50% to 93. What this means is that the number is simply 150% of the old number.
Now, let’s represent the number of deaths in 2012 by x
Mathematically;
150% of x = 93
150/100 * x = 93
150x = 93 * 100
150x = 9300
x = 9300/150
x= 62
This means there were 62 deaths in the year 2012
Answer: The triangle is a obtuse triangle. Because two angles are less than 90 and 110 is a obtuse angle.
Hope it helps
Answer:
1. this is the definition of a midpoint - bc the definition of a midpoint is: “If a point is a midpoint of a segment, then it divides that segment into two congruent parts” or “If a point divides a segment into two congruent parts, then it's the midpoint of that segment.”
2. this is the division property of equality -"The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal". so, in this situation we want to isolate x which means dividing both sides by 20. This will keep both sides equal just more simplified ( before, it was 20 and 100, after dividing both sides by 20 it is 1 and 5 which is the same ratio therefore they are still equal)
3. this one's the subtraction property of equality- this property means you can subtract the same number from both sides of an equation and get an equivalent equation. in this situation, they subtracted 15 from both sides to get AB = 30 and it ends being still being equal to AB + 15= 45.
4. this is the symmetric property of equality - "This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement." "it states that values are still equal no matter which side of the equal sign they're on." That's why its possible for XY=ST and ST=XY
5. this is definition of congruence - which basically states that if a value of one thing is equal to the value of another thing those two things can be called congruent.
6. this is substitution property- this is the property that allows you to substitute one value for another in an equation. the property states that if
x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation, just like what they show here with 5AB substituting for CD in the equation.
i hope this helped! im not that good at explaining so if u have more questions lmk!
Answer:
C) x=2 y=-1 z=3
Step-by-step explanation:
2x + y - z = 0
2(2) + (-1) - (3) = 0
0 = 0
x - y + z =6
2 - (-1) + 3 = 6
6 = 6
x + 2y + z = 3
2 + 2(-1) + 3 = 3
3 = 3
The name for facts in subtraction problems: Fact Family is a group of math facts that uses the same numbers, for addition, and subtraction.
Answer: =====> I believe is, Subtraction Fact Strategies, or Fact Families.
1. ). Strategy: ===> Think Addition:
1.). Subtraction Description ====> Using the known addition fact to solve the subtraction problem. Ex. 13-5, think what goes with 5 to make 13?
2.). Strategy: ===> Fact Families
2.). Subtraction Description ====> Think of the fact family to recall the missing number.
3.). Strategy ===> Build Up Through
3.). Subtraction Description ===> Ten
Used when either the subtrahend or minuend is 8 or 9. Ex: 14-9: start with 9 and work up through 10: 9 and 1 is 10 and 4 more makes 5.
4.). Strategy ==> Back Down Through Ten
4.). Subtraction Description: ==> Working backward with 10 as a “bridge”. Ex. 15-6, Take 5 away from 15 to get to ten. Then take one more away, leaving 9.
Hope that helps!!! : )