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3 years ago

Look at the figures. How can you prove these triangles are congruent?

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

5 0

Answer:

A. $\Delta ABC\cong \Delta DEF$ by the SAS postulate.

Step-by-step explanation:

We have been two triangles. We are asked to determine the theorem by which both triangles could be proven congruent.

We can see that side DF of triangle DEF is equal to side AC of triangle ABC.

We can also see that side BC of triangle ABC is equal to side EF of triangle DEF.

The including angle between sides AC and BC of triangle ABC is equal to the including angle between sides DF and EF of triangle DEF.

Since both triangles have two sides and their included angles equal, therefore, triangle ABC is congruent to triangle DEF by SAS (Side-Angle-Side) congruence and option A is the correct choice.

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There are 76,000 acres of state Parkland in Georgia this is 4000 acres more than three times the number of acres of state Parkla

pashok25 [27]

Answer:

There are 240,000 acres of the state parkland in Mississippi.

Step-by-step explanation:

Let a= Mississippi's parkland acres

You can use either Distributive Property, or The Order of Operations.

Distributive Property:

(76,000+4,000) 3= a

228,000+12,000= a

240,000= a

Order of Operations:

(76,000+4,000) 3= a

(80,000) 3= a

240,000= a

7 0

3 years ago

A truck driver needs to drive 400 miles. The drivers average speed for the first 180 miles is b miles per hour. The drivers aver

nordsb [41]

Step-by-step explanation:

speed = distance/time

time = t = distance/speed

t = 180/b + (400-180)/c = 180/b + 220/c = 20(9/b + 11/c)

7 0

2 years ago

The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased. A graph titled D

Vikki [24]

Answer:

$110

Step-by-step explanation:

The computation is shown below:

Provided that

Number of desk purchased Fund Left $

0 700

1 590

2 480

3 370

4 260

5 150

6 40

Now the Fund decreased while purchasing is

= 5 desks - 2 desks

= 3 desks

i.e

= $480 - $150

= $330

Now the amount of money left for decreased the desk fund is

$= \frac{Fund\ decreased }{number\ of\ desk\ decreased}$

$= \frac{\$330}{3\ desk}$

= $110

7 0

3 years ago

Read 2 more answers

Amy was scheduled for 12 intervals this week. One her first interval, she had a technical issue that prevented her from working

ad-work [718]

Based on the total of intervals vs the number of intervals Amy attended her CA percentage is 75%

<h3>What is the CA percentage?</h3>

The CA percentage measures the commitment of an employee to be logged in during the intervals that were assigned to him/her to work.

In this way, the CA percentage is equal to 100% if the employee worked as scheduled. Moreover, this percentage can be affected by factors such as:

Technical issues.
Human errors.

In the case of Amy, there is a total of 12 intervals and it is known:

She had a technical issue that prevented her from working, but this was reported so it is unlikely this is considered in her CA.
She missed three intervals because she looked at her schedule wrong.

Based on this information, let's calculate her CA:

12 intervals = 100%
9 intervals = x

x = 9 x 100 / 12
x = 900 / 12
x = 75%

Learn more about percentage in: brainly.com/question/8011401

6 0

3 years ago

The school cafeteria sells two types of wraps vegetarian and chicken the vegetarian wrap costs $1.00 and the chicken wrap costs

IRINA_888 [86]

Answer:

Step-by-step explanation:

Let's make a system of equations for the vegetarian and chicken wraps; one for the total cost of them and one for the total amount sold.

Vegetarian wraps will be represented by variable v and chicken wraps will be represented by the variable c.

v + 3.40c = 266.20
v + c = 103

Subtract these equations.

2.40c = 163.20

Divide both sides by 2.40.

c = 68

Substitute this value for c into the second equation.

v + (68) = 103

Subtract 68 from both sides.

v = 35

The number of vegetarian wraps sold amounted to 35 in total.

3 0

3 years ago

Read 2 more answers