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zavuch27 [327]
3 years ago
14

7 teachers share 1 liter of cappuccino. If you make 3 litters of cappuccino, how many teachers can drink cappuccino? If you need

to make enough cappuccino for 74 teachers, how many liters would you need to make?
Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0
Part A - If you make 3 liters of cappuccino for the teachers and want to find out many teachers drink from the liter, you need to find the unit rate which is 7 Teachers to 1 Cappuccino. So, that means it is 21 teachers can drink 3 liters. 

Part B - For this part, you have to do 74 divided by 7 which rounds to about 10.57.
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In ABC, side BC is extended to point E. When connected to vertex A, segment EA is parallel to segment BD. In this construction,
Anuta_ua [19.1K]

Two triangles are said to be <u>congruent</u> if they have <em>similar</em> properties. Thus the required <u>options</u> to complete the <em>paragraph proof</em> are:

a. angle 1 is <u>congruent</u> to angle 2.

b. <em>alternate</em> angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.

c. \frac{AD}{CD} = \frac{AB}{CB}

The <em>similarity property</em> of two or more shapes implies that the <u>shapes</u> are congruent. Thus they have the <em>same</em> properties.

From the given <u>diagram</u> in the question, it can be deduced that

ΔABC ≅ ΔABE (<em>substitution</em> property of equality)

Given that EA is <u>parallel</u> to BD, then:

i. <2 ≅ <3 (<em>corresponding</em> angle property)

ii. <1 ≅ < 4 (<em>alternate</em> angle property)

Thus, the required options to complete the <em>paragraph proof</em> are:

  • Angle 1 is <em>congruent</em> to angle 2.
  • Alternate angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.
  • \frac{AD}{CD} = \frac{AB}{CB}

For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1619927

#SPJ1

6 0
2 years ago
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 49 feet, and the length of the other
Art [367]

Answer:

We need more information please.

Step-by-step explanation:

6 0
3 years ago
Please answer thank you !!!!!
KonstantinChe [14]

Answer:

-7x^3+8x^2+x-5

Step-by-step explanation:

We are simply adding the two functions:

f(x) + g(x) = (2x^2-5x^3+x-7) + (6x^2-2x^3+2) = 8x^2-7x^3+x-5 = -7x^3+8x^2+x-5

8 0
3 years ago
I need to know how to solve these
My name is Ann [436]
1. make an equation
4x+7(20) = 5(x+20)
2. multiply the numbers and distribute 5 through the parenthesis
4x+140 = 5x+100
3. move variables to the left side and change its sign and move constant to the right side and change its sign
4x-5x = 100-140
4. collect the like terms and calculate the difference
-x = -40
5. change the signs on both sides of the equation
x = 40
he needs to use 40 pounds of the cheaper coffee.
hope this helped!
4 0
3 years ago
How do you add integers with the same sign? <br><br><br><br>PLEASE I NEED IT NOW AND THANK YOU
dedylja [7]
When you add integers, you keep the sign on the sum.

For example:
-9 + -9 = -18 (kept the sign)
9 + 9 = 18 (kept the "sign")
3 0
3 years ago
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