Answer: 10
Step-by-step explanation:
You times 4 and 5 then you divide in half because it is a triangle
This is an equilateral triangle, which is a triangle that has 3 congruent/equal sides and 3 congruent angles.
To find "x", you can set the sides equal to each other because they are suppose to be the same length (you can just do two sides because all of the sides are the same)
[Side AB = Side BC]
4x - 10 = 3x + 2 Subtract 3x on both sides
x - 10 = 2 Add 10 on both sides
x = 12
[proof]
Side AB:
4x - 10 Plug in 12 for x
4(12) - 10 = 48 - 10 = 38
Side BC:
3x + 2 Plug in 12 for x
3(12) + 2 = 36 + 2 = 38
Side AC:
5x - 22 Plug in 12 for x
5(12) - 22 = 60 - 22 = 38
This is also an equilateral triangle (the tick marks show that the sides are the same)
A triangle is 180°. So the three angles add up to 180°.
Since this is an equilateral triangle, all the angles should be the same.
Each angle is 60°
[60° + 60° + 60° = 180° or you could have divided 180 by 3 = 60]
Now that you know each angle is 60°, you can do:
(2x - 4)° = 60°
2x - 4 = 60 Add 4 on both sides
2x = 64 Divide 2 on both sides
x = 32
Answer:
x = -8
Step-by-step explanation:
I will show each step algebraically. If you need further explanation, feel free to ask questions :)
Rewrite
Subtract 7
Multiply by reciprocal (2/1)
I hope this helps!
Answer: Can you explain more? you have to calculate it by an theorm
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that divisor is 24 and dividend is 1344 and we are to use box method.
Long division is often considered one of the most challenging topics to teach. Luckily, there are strategies that we can teach to make multi-digit division easier to understand and perform.
The Box Method, or the Area Model, is one of these strategies. It is a mental math based approach that will enhance number sense understanding. Students solve the equation by subtracting multiples until they get down to 0, or as close to 0 as possible.
For example this method is shown below:
I step is to find in multiples of 10 or 100 the greatest divisor
24) 1344( 500
1200
--------
144
Step 2: Next step is to divide 144 by 24
24)144( 6
144
----
0
Thus we find that quotient is quotient in I step + quotient in 2nd step
= 50+6 = 56
and remainder is zero.
