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KonstantinChe [14]
3 years ago
13

Which statement best describes the area of Triangle ABC shown below?

Mathematics
1 answer:
sergeinik [125]3 years ago
5 0

Answer:

  It is one-half the area of a rectangle with sides 4 units × 3 units

Step-by-step explanation:

One side of the triangle is on the line y = 2 between points x=2 and x=6. So, that side has length 6-2 = 4.

The opposite vertex has y-value 5, so is 3 units away from the line y = 2.

The area of the triangle can be considered to have a base of 4 and a height of 3. In the formula ...

  A = (1/2)bh

we find the area to be ...

  A = (1/2)×(4 units)×(3 units) . . . . triangle area

__

A rectangle's area is the product of its length and width. So, a rectangle that is 4 units by 3 units will have an area of ...

  A = (4 units)×(3 units) . . . . rectangle area

Comparing the two area formulas, we see that the triangle area is 1/2 the area of the rectangle with sides 4 units × 3 units.

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A father’s age now is three times the age that his son was 4 years ago. In
Mice21 [21]
Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.

4 years ago, the son was:

s-4

So, his father is currently:

3(s-4)

=

3s-12

Therefore:

f = 3s-12

In twelve years, the son will be:

s+12

And the father will be:

f+12

This can also be written as:

3s-12+12 as the fathers younger age would be f = 3s+12

=

3s

So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36

Son’s current age: 36

We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.

2(24)+24 = 72

Father’s current age: 72










7 0
2 years ago
X+2 = 7/8 mulltiplied by -15x
Marysya12 [62]

Answer:

x=16/113

Step-by-step explanation:

look at them in order

3 0
3 years ago
Will mark brainlyest!!
butalik [34]

Answer:

A = 120 cm^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is:

A = 2(area of the top) + 2(area of the front) + 2(area of one side)

Substituting the values:

A = 2(20) + 2(16) + 2(24)

First, distributing:

A = 40 + 32 + 48

Then adding, giving your final answer

A = 120 cm^2

Hope this helps you :)

6 0
2 years ago
Which expressions are polynomials?
cupoosta [38]

<em><u>The expressions that are polynomial are:</u></em>

6 + w

2x^4 - y

z + 1

<em><u>Solution:</u></em>

A polynomial is an expression with variables and coefficients with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

1) 6 + w

Here "w" is a variable, hence it is a polynomial expression

2)\ 2x^4 - y

This is a polynomial, since it has variables and coefficients and variable with non negative exponent

3) z + 1

This is also a polynomial with variable "z" and has addition operation

4)\ y^2 - y\sqrt{3} + 4

Since it has root so it is not a polynomial

6 0
3 years ago
Read 2 more answers
What is the value of x? 1/3x-2/3=-18 ( please help it’s due tomorrow)
Nikolay [14]
X=56 is the answer :)
4 0
3 years ago
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