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umka21 [38]
3 years ago
13

Help me solve for m<4 and m<5 and x

Mathematics
1 answer:
Andreyy893 years ago
4 0

Answer:

x = 18

Angle 4 = 31 degree

Angle 5 = 59 degree

Step-by-step explanation:

According to the question, angle 3 is 90 degree and the sum of angle 4 and 5 is equal to the angle 3 as they are vertically opposite angles.

Angle 4 + angle 5 = 90 degree

Angle 4 = 2 x - 5

angle 5 = 4 x - 13

So, according to the question,

2 x - 5 + 4 x - 13 = 90

6 x - 18 = 90

6 x = 108

x = 18

So, angle 4 = 2 (18) - 5 = 31 degree

So, angle 5 = 4 (18) - 13 = 59 degree

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(a) Write an equation that could be used to answer the question above.
Margarita [4]

The linear equation that can be used to represent the situation using 9, w and 163 is 9w + 63 = 198

The solved equation to find the number of weeks is w = 15

<h3 />

<h3>What is a linear equation?</h3>

Linear equation are equation in which the highest power of the variable is equals to 1.

Suzan is saving money to buy a bike . She already have $63 and is going to save an additional $9 per week. The cost of the bike is $198.

Let

w = number of weeks

The linear equation that can be used to represent the situation using 9, w and 163 is as follows:

using the slope-intercept form,

y = mx + b

where

m = slope

b = y-intercept

Therefore,

  • 9w + 63 = 198

The solved equation to find the number of weeks is as follows:

  • 9w = 198 - 63
  • 9w = 135
  • w = 135 / 9
  • w = 15

learn more on linear equation here: brainly.com/question/26311977

6 0
2 years ago
A cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,46
mart [117]

The numbers of passengers that need to be booked to ensure the cruise line makes a profit, using a compound inequality is x ≥ 2,052 and x ≤ 2,462.

<h3>How to illustrate the inequality?</h3>

From the information given, we are told that the cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,462.

Learn x be the number of people that can be accommodated. Therefore, the model is x ≥ 2,052 and x ≤ 2,462.

Learn more about inequalities on:

brainly.com/question/13051739

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8 0
1 year ago
-2(csc2θ - cot2θ)<br> - 1 <br> -2<br> -3<br> -1
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Answer:

- 2

Step-by-step explanation:

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3 years ago
James said that he would need 25 red beads to make
o-na [289]

Answer:Elena uses 12 red beads to make 4 bracelets. How many red beads will Elena need to make 12 bracelets? How many red beads will Elena need to make 20 bracelets? You can make a table showing the number of bracelets that can be made with different numbers of red beads. The pairs of numbers in each column show the ratio ofred beads to bracelets. Notice the ratios are all equivalent.

Number of Red Beads 3 6 12 24 36 48 60 72 Number of Bracelets 1 2 4 8 12 16 20 24  

The table shows Elena will need 36 red beads to make 12 bracelets. Elena will need 60 red beads to make 20 bracelets. James said that he would need 25 red beads to make 75 bracelets. Is he correct? How did he get that answer?

Step-by-step explanation:

5 0
3 years ago
One morning a bagel shop sold 3 plain bagels, 6 raisin bagels, and 6 sesame seed bagels. If the shop sells 20 bagels the next mo
notka56 [123]

you cant really predict how many bagels will be sold the next morning because of different scenarios but mathematically speaking if you compare plain bagels to total bagels you get 3/15 so if you multiply the denominator by 1 1/4 to get twenty as the denominator then you have to do the same to the numerator to get a fraction of 3.75/20 or roughly 3-4 plain bagels sold

3 0
3 years ago
Read 2 more answers
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