1) You have vertical angles here. This means the big and small triangles are similar, meaning the ratio of corresponding sides of the two triangles are equal.
In this case, 32cm corresponds to 4cm and 40cm corresponds to x. To find x, set up the ratio as follows: 4/32 = x/40.
4/32 can be reduce to 1/8. Multiply each side by 40 to isolate x. you get 1/8 * 40
This yields x = 5 cm
2) set up a proportion, similar to the first question.
(x + 4)/8 = (2x + 1)/12
12(x + 4) = 8(2x + 1)
12x + 48 = 16x + 8
40 = 4x
x = 10
the length of BC is (x + 4) + (2x + 1) = 3x + 5
this means BC = 35
For this case we have:
By definition, the factorization is an algebraic expression that is used to find two or more factors, taking into account that the product of these factors must be equal to the given expression.
That is to say:
Given an expression of the form
We can factor in the following way:
Since, its product is: ,
checking the given definition.
If we have:
We can factor:
When making your product we obtain:
Answer:
Answer:
Step-by-step explanation:
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The answer to your problem is a. 3:4
Answer:
As Per Provided Information
A jewellry case has a base area of 37.5 sq cm and a height of 1.5 cm .
Total Number of these cases are 6 .
We have been asked to determine the volume of these cases .
Let's substitute the given value and we obtain
<u>Therefore</u><u>,</u>
- <u>Volume</u><u> of</u><u> </u><u>6</u><u> </u><u>jewellery</u><u> </u><u>cases</u><u> </u><u>are </u><u>3</u><u>3</u><u>7</u><u>.</u><u>5</u><u> </u><u>cm</u><u>³</u>