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3 years ago

By which rule are these triangles congruent? A) AAS B) ASA C) SAS D) SSS

Mathematics

2 answers:

Greeley [361]3 years ago

7 0

Answer:

C) SAS

Step-by-step explanation:

» These two triangles have same side and same angle

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Ilia_Sergeevich [38]3 years ago

3 0

C
Step-by-step explanation:
The third one down. There are two ways you
know this.
1. If you had two boards that where 6 cm and
20 cm and tried to make a triangle with the
third side = 27, the two little boards would lie
flat on the 27 cm board.
2. The other three answers all make the
smaller two sides larger than the third larger
side.

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A batter strikes a baseball. the equation y = -0.005^2 +0.7x + 3.5 models its path, where x is the horizontal distance, in feet,

hram777 [196]

Answer:

(D)144.8 feet

Step-by-step explanation:

Given the equation which models the path of the baseball

$y = -0.005x^2 +0.7x + 3.5$

where x is the horizontal distance, in feet, the ball travels and y is the height, in feet, of the ball.

To determine how far from the batter the ball will land, we determine the distance x at which the height, y=0.

$y = -0.005x^2 +0.7x + 3.5=0$

$-0.005x^2 +0.7x + 3.5=0$

We use the quadratic formula to solve.

In the quadratic equation above, a=-0.005, b=0.7, c=3.5

$x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a} \\=\dfrac{-0.7\pm\sqrt{0.7^2-4(-0.005*3.5)} }{2*-0.005} \\=\dfrac{-0.7\pm\sqrt{0.49+0.07} }{-0.01}\\=\dfrac{-0.7\pm\sqrt{0.56} }{-0.01}\\x=\dfrac{-0.7+\sqrt{0.56} }{-0.01} \: or\: x=\dfrac{-0.7-\sqrt{0.56} }{-0.01}\\x=-4.83 \: or\: x=144.83$

Since x cannot be negative, x=144.8 feet to the nearest tenth of a foot.

The correct option is D.

6 0

3 years ago

What is the area of triangle RST?

Paraphin [41]

Answer-

$\boxed{\boxed{\text{Area}_{RTS}=9\ unit^2}}$

Solution-

We know that,

$\text{Area}=\dfrac{1}{2}\times\text{Base}\times \text{Height}$

From the diagram,

RS is the base and UT is the height of the triangle.

Applying distance formula,

$RS=\sqrt{(3+3)^2+(2-2)^2}=\sqrt{(6)^2}=6$

$UT=\sqrt{(-1+1)^2+(2+1)^2}=\sqrt{(3)^2}=3$

Putting the values,

$\text{Area}_{RTS}=\dfrac{1}{2}\times6\times3=9\ unit^2$

7 0

4 years ago

Read 2 more answers

PQRS is a parallelogram. If mQRS = (9x - 20)° and

ivolga24 [154]

Answer:

x = 8.5

Step-by-step explanation:

In this question, we are to calculate the value of x.

To calculate this, we shall be utilizing one of the important properties of parallelogram.

This property is that opposite angles of a parallelogram are equal.

This means that mQSR = mSPQ = 4x + 90

Now to finally calculate x, we make use of another important parallelogram property which is that angles of parallelogram which faces each other are supplementary.

This means that they add up to be 180

Since mQSR faces mQRS

This means that;

4x + 90 + 9x -20 = 180

13x + 70 = 180

13x = 110

x = 110/13 which is approximately 8.5