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hoa [83]
2 years ago
10

What is the area of triangle rst? 6 square units 9 square units 12 square units 18 square units

Mathematics
1 answer:
Butoxors [25]2 years ago
6 0

The area of the considered triangle RST is given by: Option A: 9 sq. units.

<h3>How to find the area of a triangle?</h3>

If we have:

  • Length of its base = b units
  • Its height = h units long,

Then we get:

Area of a triangle = \dfrac{b \times h}{2} \: \rm unit^2

The missing image is attached below.

If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.

Thus, we have:

Area of RST = half of length of RS (base) times length of UT (height)

As visible from image, we have:

Length of RS = 6 blocks of unit length = 6 units

Similarly, length of UT = 3 units

Thus, we get:

Area of RST = \dfrac{6 \times 3}{2} = 9 \: \rm unit^2

Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.

Learn more about area of a triangle here:

brainly.com/question/14503701

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Q(x)= 1/2x - 3; q(x) =-4. Find the value of x
Lelu [443]

Answer:

q(x) =-5

Step-by-step explanation:

I am solving this using Function Notation.

We are given:

q(x)= \frac{1}{2}x - 3

While we are to find:

q(x) =-4

In Function Notation, replace all the "x" you see with the value you are given.

So, in this case,

q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}x - 3

Would become

q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}(-4) - 3

Now we can solve.

\frac{1}{2}(-4) - 3

Use PEMDAS; Parenthesis first;

\frac{1}{2}(-\frac{4}{1})

Cross divide: 1 cancels 1, -4 ÷ 2 = -2

Hence, we are left with

(-2) - 3

-5

Therefore, the value of x is -5

8 0
2 years ago
I NEED HELP PLEASE! TEST
SIZIF [17.4K]

Answer:

Yes by SSS because you have the same hypotenuse and same hatch marks on other sides

6 0
3 years ago
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3 0
3 years ago
Casey can buy 3 sandwiches and 5 cups of coffee for $26. Eric can buy 4
ioda

Answer:

Step-by-step explanation:

Let's identify what we are looking for in terms of variables.  Sandwiches are s and coffee is c.  Casey buys 3 sandwiches, which is represented then by 3s, and 5 cups of coffee, which is represented by 5c.   Those all put together on one bill comes to 26.  So Casey's equation for his purchases is 3s + 5c = 26.  Eric buys 4 sandwiches, 4s, and 2 cups of coffee, 2c, and his total purchase was 23.  Eric's equation for his purchases then is 4s + 2c = 23.  In order to solve for c, the cost of a cup of coffee, we need to multiply both of those bolded equations by some factor to eliminate the s's.  The coefficients on the s terms are 4 and 3.  4 and 3 both go into 12 evenly, so we will multiply the first bolded equation by 4 and the second one by -3 so the s terms cancel out.  4[3s + 5c = 26] means that 12s + 20c = 104.  Multiplying the second  bolded equation   by -3:  -3[4s + 2c = 23] means that -12s - 6c = -69.  The s terms cancel because 12s - 12s = 0s.  We are left with a system of equations that just contain one unknown now, which is c, what we are looking to solve for.  20c = 104 and -6c = -69.  Adding those together by the method of elimination (which is what we've been doing all this time), 14c = 35.  That means that c = 2.5 and a cup of coffee is $2.50.  There you go!

3 0
3 years ago
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