Answer:
2(20+5)
2(10+15)
Step-by-step explanation:
When you add 20+5 together you get 25 which is the same to 2(25)
When you add 10+15 together you get 25 which is the same to 2(25)
Answer:
Distance of home plate to 1st base is equal to home plate to 3rd base
Step-by-step explanation:
Let's first assign each position:
A: home base
B: 1st base
C: 2nd base
D: 3rd base
The information given:
'It’s the same distance from the second base to the first base from the second base to third-base' tells us BC = CD
'the angle formed by the first base second base and Homeplate has the same measure as the angle formed by the base second base home plate' tells us angle(BCA) = angle(DCA)
Check for congruency between triangle ABC and ADC
BC = CD - side congruency (S)
angle(BCA) = angle(DCA) - angle congruency (A)
CA = CA - side congruency (S)
So triangle ABC and ADC fullfill the criteria of congruence property as SAS.
Since both triangle are congruent, another side of the triangles AB and AD must be the same too.
AB = home plate to 1st base
AD = home plate to 3rd base
Therefore we can conclude that the distance of home plate to 1st base is equal to home plate to 3rd base
Given that B is the midpoint of line AC and line BC is congruent to line DE.
The following statements and reasons, proves that line AB is congruent to line DE.
Statement Reasons
1. B is the midpoint of line AC Given
2. Line AB is congruent to line BC. Midpoint of a line segment
3. Line BC is congruent to line DE Given
4. Line AB is congruent to line DE Transitive property
Answer:
No, Matt did not solve the equation correctly
Correct Answer: x = 8
Step-by-step explanation:
4(x + 2) = 30
Step 1: Distribute
4x + 2 = 30 
This is his mistake, he should completely distribute 4
to x and 2
Step 2: Subtract 2 from both sides/Isolate x
4x = 28 This part is done correctly, but wrong because of Step 1
Step 3: Divide both sides by 4
x = 7 This is correct, but again, he messed up on Step 1
<h3>
Let's find the correct answer to this equation:</h3><h3>4(x +2) = 30</h3>
Step 1: Distribute
Remember to distribute 4 to all terms in the parenthesis.
4(x + 2) = 4(x) + 4(2)
= 4x + 8
4x + 8 = 30
Step 2: Subtract 8 from both sides/Isolate x
Move all the terms that do not belong to x to the other side. We can do this by subtracting 8 from both sides (opposite operation of adding 8)
4x + 8 = 30
4x = 30 - 8
4x = 32
Step 3: Divide both sides by 4/Isolate x
Now we want x by itself. Since x is being multiplied by 4, we have to use the opposite operation, dividing by 4, to have x on one side by itself
4x = 32
4(x) = 32
x = 32 ÷ 4
x = 8
-Chetan K
An isosceles triangle has congruent base angles, so if one of the base angles measure 54 degrees, then the other base angle does, too.
And a triangle measures up to 180 degrees.
180 = x + 2(54)
180 = x + 108
x = 72
So the answer is B) 72
