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Mariulka [41]
3 years ago
11

Five expressions that are equivalent to 20x + 18

Mathematics
1 answer:
jonny [76]3 years ago
7 0

1) 10x + 9

2) 40x + 36

3) 60x + 54

4) 80x + 72

5) 100x + 90

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Triangle ABC and DEF are right triangles, as shown. Triangle ABC is similar to triangle DEF. which ratios are equal to sin C?
Dafna11 [192]

Answer:

First option and Fourth option.

Step-by-step explanation:

To solve this exercise you need to use the following Trigonometric Identity:

sin\alpha=\frac{opposite}{hypotenuse}

In this case you know that:

\alpha =C

Since triangle ABC is similar to triangle DEF:

\angle C=\angle F

Let's begin with the triangle ABC.

You can identify that:

opposite=AB\\hypotenuse=AC

Then, substituing values, you get:

sinC=\frac{AB}{AC}

In triangle DEF, you know that:

opposite=DE\\hypotenuse=DF

So, substituing values, you get:

sinF=sinC=\frac{DE}{DF}

4 0
3 years ago
Write an algebraic expression to describe the combined number of posts for Jenny and Antonio after any given number of days
Charra [1.4K]
Suppose Jenny publishes X post per day, and Antonio publishes Y post per day.
So, the combined number of posts will be X+Y multiplied by the number of days.

For example, if the numbers of days is Z, Jenny and Antonio published Z(X+Y) posts.
3 0
3 years ago
The image shown has two triangles sharing a vertex:
ivanzaharov [21]

Answer:

It is b

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Christine worked from 8:15 AM to 11:50 AM, went to lunch, then worked from 12:45 PM to 5:15 PM on Monday through Friday of this
velikii [3]

The equation illustrated shows that the gross pay will be $97.

<h3>How to compute the value?</h3>

It should be noted that she earns an hourly rate of $17.15 and receives time and a half for overtime. The number of hours will be 3 hours 35 minutes at first. This will be:

= (17.15 × 3.58)

= 61.5

The amount for overtime will be:

= (1/2 × 17.15) × 4.5

= 35.59

The Total amount will be:

= 61.5 + 35.59

= $97

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

6 0
2 years ago
The price of an item has risen to 221 today. yesterday it was 139. Find the percentage increase
alexgriva [62]

Answer:

Approx. 59% increase.

Step-by-step explanation:

Today - 221

Yesterday - 139

difference (today - yesterday) = 82

How to find percent:

((part)/(whole)) = ((x)/(100))

In this case, the part is the difference, and the whole is the value of an item yesterday, so the equation is:

82/139 = x/100

cross multiply

8200 = 139x

Inverse operations

8200 = 139x

/139       /139

8200/139 = x

approx. 59 = x

4 0
3 years ago
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