Answer:
Yes
Step-by-step explanation:
One of the ways you can prove if a parallelogram is a parallelogram is if the sides in the shape are congruent and that's exactly what this proof is showing
Hope this image helps
Answer:
d
Step-by-step explanation:
The number of bananas required to make the third scale balance is 3.
<h3>What is a scale?</h3>
A scale is a tool used for weighting objects. If the objects on each side weigh the same the scale is balanced. Based on this, let's determine the possible weight of each fruit to balance the last scale.
- Scale 1 (10 bananas/ 2 pineapples)
It is known 10 bananas weigh as much as 2 apples, but to solve this problem let's assume 10 bananas weigh a total of 1000 grams.
- 10 banans = 1000 grams = each banana weighs 100 grams
- 2 pineapples = 1000 grams = each pineapple weighs 500 grams
Scale 2 ( 1 pineapple / 2 bananas, 1 apple)
Using the same imaginary weights let's find the weight of the apple.
- 1 pineapple = 500 grams
- 2 bananas = 200 grams
- 1 apple = 300 grams (500 - 200 = 300)
Scale 3 (1 apple /x )
We know 1 apple is equal to 300 grams and 1 banana is equal to 100 grams. Based on this, the number of bananas to balance the scale is 3.
Learn more about balance in: brainly.com/question/7181548
Answer:
Combine like terms
Step-by-step explanation:
The first step in such equations is to simplify the equation which is done most often by combining like terms, and by combining like terms i mean for example:
1 + 5 + 3x = 4y + z
You will combine the like terms (those that can be added or subtracted):
6 + 3x = 4y + z
In our example, combining terms would be adding 2x/3 and 1x/3 to give
3x/3 + 2 = 5
The equation is now simple and easy to solve as you simplify 3x/3 to 1x and then proceed to rearrange the equation to yield the value of x
Hope this helps!
Because it is a 90° angle and the legs are congruent, the legs intersect with the hypotenuse at the same angle, so the other, unnamed angle at the bottom left is equal to x.
Now we can state that:
2x + 90 = 180
2x = 90
x = 45
