Ask question

Ask question

All categories

1 year ago

12

A diagnal is drawn on a square. How many triangles are formed ? What is the sum of the measures of the angles of a triangle? wha

t is the sum of the angle measures of the square?

1 answer:

Alik [6]1 year ago

8 0

2 triangles are formed.
The sum of the measures of the angles of a triangle is 180 degrees.
The sum of the measures of the angles of a square is 360 degrees.

You might be interested in

A trumpet player is currently standing in position (3, 2) on a gridded football field. Her bandleader

photoshop1234 [79]

Answer:

(1, 3)

Step-by-step explanation:

Current position (3,2)

Moving left of the x axis results in a decrease, so: 3 - 2 (As she is moving 2 units to the left)

Moving up results in a positive increase on the y axis, so: 2 + 1 (As she is moving one unit up)

3 0

3 years ago

In the diagram, PQR is a straight line. Calculate the value of X and Y. HELPP!!! easy questions* will mark as brainliest!!! I AM

avanturin [10]

Answer:

I hope it helped you. You can have a look

8 0

3 years ago

The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone'

Sladkaya [172]

The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone's velocity just before it strikes the ground?

Answer: In order to find the stone’s velocity just before it strikes the ground we will use one of the free fall equations. V = √(2gh). We already have the values needed which are the gravity (9.8 m/s2) and our total height (318 meters). All you have to do is solve for V. You should get 78.95 m/s.

5 0

3 years ago

Kanna wants to buy 6 of flowers. Each flower cost $1.30 but the bundle of 6 cost $7.50. What is the better deal for Kanna.

Nat2105 [25]

Answer: 6 for $7.50

Step-by-step explanation:

6 * 1.30 = $7.80

6 for $7.50

7 0

2 years ago

Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$

Viefleur [7K]

QUESTION 1

Given that:

$f(x)=2x^2+3x-9$ ,

$g(x)=5x+11$ ,

and

$h(x)=-3x^2+1$

Then;

$f(x)-g(x)+h(x)=2x^2+3x-9-(5x+11)+(-3x^2+1)$

$f(x)-g(x)+h(x)=2x^2+3x-9-5x-11-3x^2+1$

Group similar terms;

$f(x)-g(x)+h(x)=2x^2-3x^2+3x-5x-11-9+1$

Simplify;

$f(x)-g(x)+h(x)=-x^2-2x-19$

QUESTION 2

Given that;

$f(x)=4x-7$ .

$g(x)=(x+1)^2$

and

$s(x)=f(x)+g(x)$

Substitute the functions;

$s(x)=4x-7+(x+1)^2$

Substitute x=3

$s(3)=4(3)-7+(3+1)^2$

$s(3)=12-7+(4)^2$

$s(3)=5+16$

$s(3)=21$

QUESTION 3

Given:

$f(x)=3x+2$

$g(x)=x^2-5x-1$

$f(g(x))=f(x^2-5x-1)$

This implies that;

$f(g(x))=3(x^2-5x-1)+2$

Expand the parenthesis;

$f(g(x))=3x^2-15x-3+2$

$f(g(x))=3x^2-15x-1$

QUESTION 4

The given function is;

$f(x)=3(x-6)^2+1$

Let

$y=3(x-6)^2+1$

$\Rightarrow y-1=3(x-6)^2$

$\Rightarrow \frac{y-1}{3}=(x-6)^2$

$\Rightarrow \sqrt{\frac{y-1}{3}}=x-6$

$\Rightarrow x=6+\sqrt{\frac{y-1}{3}}$

The range is:

$\frac{y-1}{3}\ge0$

$y-1\ge0$

$y\ge1$

The interval notation is;

$[1,+\infty)$

6 0

3 years ago