Answer: The answer is A

Step-by-step explanation: 4c+6a<120 and 4c+4a<100

The most reasonable would be grams.

**Answer:**

95 city and 175 highway miles.

**Step-by-step explanation:**

The driver gets 20 mpg in city, and 28 mpg on the highway.

An equation that could be written is

20x+28y=270

This equation accounts for the distance traveled.

x+y=11

This equotion accounts for how many gallons were driven.

Multiply the bottom equation by 20, so you can solve the set of equations.

20x+28y=270

20x+20y=220

subtract them

8y=50

**y=6.25**

now plug this back into x+y=11

x+6.25=11

**x=4.75**

Now 4.75×20=95 city miles and 6.25×28=175 highway miles.

**Answer:**

a₁ = - 24

**Step-by-step explanation:**

The n th term of an AP is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₇ = 2a₅ , then

a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )

- a₁ - 2d = 0 → (1)

The sum to n terms of an AP is

= [ 2a₁ + (n - 1)d ]

Given = 84 , then

(2a₁ + 6d) = 84

3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )

2a₁ + 6d = 24 → (2)

Thus we have 2 equations

- a₁ - 2d = 0 → (1)

2a₁ + 6d = 24 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate d

- 3a₁ - 6d = 0 → (3)

Add (2) and (3) term by term to eliminate d

- a₁ = 24 ( multiply both sides by - 1 )

a₁ = - 24

The value of the given variable x in the **missing angles** is; x = 12°

<h3>How to find alternate Angles?</h3>

**Alternate angles** are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely **alternate interior angles **as well as **alternate exterior angles.**

Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both **congruent.**

Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;

(8x + 4)° = (6x + 28)°

Rearranging this gives us;

8x - 6x = 28 - 4

2x = 24

x = 24/2

x = 12°

Read more about **Alternate Angles **at; brainly.com/question/24839702

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