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Marta_Voda [28]
3 years ago
8

Nick has $7.00. Bagels cost $0.75 each, and a small container of cream cheese costs $1.29. Write an inequality to find the numbe

rs of bagels Nick can buy. Identify what your variable represents
Mathematics
1 answer:
jeyben [28]3 years ago
3 0
Since the question only asks for bagels, put the cream-cheese idea aside.
The total spent has to be less than $7 so an equation can be this: $0.75x<$7 where x is the number of bagels
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Find the measure indicated. Assume that the lines which appear to be tangent are tangent. PART 3
ludmilkaskok [199]

I'll do problems 13 and 14 to get you started.

=====================================================

Problem 13

<h3>Answer:  32 degrees</h3>

-----------------------

Explanation:

Refer to the diagram below for problem 13. Since BD is a tangent of the circle, this means angle ABD is 90 degrees, and furthermore x+y = 90. This solves to y = 90-x.

If we focus on triangle ABC, then we can add the interior angles and set the sum equal to 180

A+B+C = 180

z+y+y = 180

z+2y = 180

z+2(90-x) = 180 .... plug in y = 90-x

z+180-2x = 180

z-2x = 180-180

z-2x = 0

z = 2x

We'll use this later.

Now move onto triangle ABD. This is a right triangle due to angle ABD being 90 degrees. The acute angles z and 26 are complementary, meaning they add to 90. So,

z+26 = 90

z = 90-26

z = 64

Now plug this into z = 2x and solve for x

z = 2x

64 = 2x

2x = 64

x = 64/2

x = 32

=====================================================

Problem 14

<h3>Answer: 31 degrees</h3>

-----------------------

Explanation:

Refer to the image shown below for problem 14. Like before, I've added various labels to it to help find the angle we're after (the red angle x).

Note how I've drawn a dashed line from point A to point D. This splits up quadrilateral ABCD into two triangles ABD and ACD. These triangles can be shown to be congruent using the HL (hypotenuse leg) theorem.

The congruent triangles also implies that angle DBC and angle BCD are the same measure (both are shown in green as the variable y).

Focus on triangle BCD. It has interior angles of: y, y and 62. Add them up, set the sum equal to 180.

y+y+62 = 180

2y+62 = 180

2y = 180-62

2y = 118

y = 118/2

y = 59

As the image attachment mentions, the angles x and y add to 90 degrees. This is because angle ABD is 90 degrees, due to segment BD being tangent to the circle. So x+y = 90 leads to x = 90-y, and therefore,

x = 90-y

x = 90-59

x = 31

Side note: it is not a coincidence that we ended up with half of the value of 62.

3 0
3 years ago
Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 less than the desktop. He pai
zysi [14]

Answer:

300

Step-by-step explanation:

Let x = cost of desktop computer; then x - 250 = cost of laptop computer

converting % to decimals, 9% = 0.09 and 6% = 0.06

Then, 0.09x + (x - 250)0.06 = $300

0.09x + 0.06x - 15 = $300

0.15x = $315

x = $2100

then x - 250 = $1850

Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300

7 0
3 years ago
Using the picture below, which angle is alternate exterior to angle 2?
kenny6666 [7]

Answer:

alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal

4 0
2 years ago
The function f(x) = x3 – 7x + bis shown in the figure.<br> 15+
Anna007 [38]

Answer:

The correct answer is

(x + 2) (x + 1) (x - 3)

Step-by-step explanation:

4 0
3 years ago
What is the general equation of a tilted ellipses not centered at the origin?
ICE Princess25 [194]

The general equation of an ellipse in which case it is not centered at the origin and it is tilted is; (x-h)²/a² + (y-k)²/b² = 1.

<h3>What is the general equation of a tilted ellipses not centered at the origin?</h3>

It follows from the task content that the plane shape in discuss is an ellipse which is described by the characteristics that it is tilted and not centered at the origin.

It follows from convention that the general equation of such an ellipse is;

(x-h)²/a² + (y-k)²/b² = 1.

In which case, such an ellipse has center given as point; (h, k).

Read more on ellipse;

brainly.com/question/16904744

#SPJ1

4 0
2 years ago
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