What is the equation relating x and

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, negative 1), (2, negative 1), and (negative

Juliette [100K]

Triangle RST was reflected over the x-axis and translated 2 units to the left to form triangle ABC. The figures are congruent.

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, reflection, translation and dilation.</em>

Reflection, translation and rotation are rigid transformation which preserve the shape and size of a figure, forming congruent figures.

Triangle RST was reflected over the x-axis and translated 2 units to the left to form triangle ABC. The figures are congruent.

Find out more on transformation at: brainly.com/question/4289712

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5 0

2 years ago

The school hiking club has completed 4 out of 5 hikes so far this year. They have hiked 4.6 miles, 3.7 miles, 5.1 miles, and 2.9

sweet [91]

Answer:

there last hike i think needs to be 7.2 miles long

Step-by-step explanation:

6 0

3 years ago

What is the measure of the smallest angle in the diagram?

Hunter-Best [27]

Answer:

The measure of the smallest angle is $m\angle FLI=29^o$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

$m\angle FLI=m\angle\ FLG+m\angle GLH+m\angle HLI$ ---> by Angle Addition Postulate

substitute the given values

$106^o=(2x-1)^o+(x+17)^o+(4x-15)^o$

solve for x

$106^o=(7x+1)^o$

$7x=106-1\\7x=105\\x=15$

Find the measure of each angle

substitute the value of x

$m\angle FLI=(2(15)-1)=29^o\\m\angle GLH=(15+17)=32^o\\m\angle HLI=(4(15)-15)=45^o$

therefore

The measure of the smallest angle is $m\angle FLI$

7 0

3 years ago

Read 2 more answers

Plz help! Sam had an appointment 90 miles away from home at 2pm. He drove there at 60 mph, and was 15 minutes late. What time di

never [62]

Answer:

12:45 pm

Step-by-step explanation:

First we find out the amount of time it takes to drive 90 miles at 60 mph.

speed = distance/time

time * speed = distance

time = distance/speed

time = 90 miles / 60 mph

time = 1.5 hour = 90 minutes

It takes 1.5 hour, or 90 minutes, to drive 90 miles at a speed of 60 mph.

To get there at 2:00 pm, he should have left at 12:30 pm.

He got there 15 minutes late, so he must have left 15 minutes late.

He left at 12:45 pm.

Answer: 12:45 pm

3 0

3 years ago

Which equation does the graph of the systems of equations solve? It's a quadratic graph opening down and quadratic graph opening

vodka [1.7K]

Answer:

D. $-x^{2} -2x+3=2x^{2} -8x+3$

Step-by-step explanation:

We are given that,

The graph of the system of equations is a 'quadratic graph opening down and a quadratic graph opening up'.

This means that one quadratic equation will have leading co-efficient positive and other will have leading co-efficient negative.

So, we get that options A and B are discarded.

Further it is provided that the graph intersect at ( 0,3 ) and ( 2,-5 ).

This means that the pair of points must satisfy the given system of equations.

So, according to the options:

C. $-x^{2} -2x+3=2x^{2} -8x-3$

Putting x = 0, gives 3 = -3, which is not possible.

So, option C is dicarded.

D. $-x^{2} -2x+3=2x^{2} -8x+3$

Putting x = 0 gives 3 = 3 and x = 2 gives -5 = -5.

Hence, the graph of the given system solves the equation $-x^{2} -2x+3=2x^{2} -8x+3$ .

7 0

3 years ago