Can someone help me find the measure of each angle indicated please

Answer:

The rectangle is 3.2 cm by 12.6 cm

Step-by-step explanation:

See attached image for a diagram.

Choose w to represent the width because the length is described by referring to the width:  it's 3 more than (add 3) triple (multiplied by 3) the width.

Length = 3w + 3

The diagonal forms two right triangles, each with leg = w, other leg = 3w + 3, hypotenuse  =  13.

The Pythagorean Theorem says [tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex] so

[tex]w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\[/tex]

Now solve using the Quadratic Formula with [tex]a=5,\,b=9,\,c=-80[/tex].

[tex]w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2[/tex]

The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.

Answer:

it 50

Step-by-step explanation:

Answer:

The answer (I think) is 50.

Step-by-step explanation:

I'm a little cautious, just cause because this question seems so easy.‍♀️

51 is closest to 50, so 51 rounded to the nearest tenth is 50.

Could I be marked as Brainliest please???

Answer:

1.25 inches

Step-by-step explanation:

5 - 5% is 4.75

4.75 - 3.5 is 1.25

Answer:

x = 24.0

y = 46.4

Step-by-step explanation:

Let opposite side = z

Using trigonometry :

Sin 30 = z / 34

z = 0.5 * 34

z = 17

We find x :

Sin 45 = 17 / x

x * sin45 = 17

x = 17 / sin 45

x = 24.04

Let y = y1 + y2

y1 = 17 / tan45

y1 = 17

y2 = 17/tan30

y2 = 29.44

y = 17 + 29.44

y = 46.44

Answer:

327 feet

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

The numbers are 6 and 2

Step-by-step explanation:

Given this scenario, we can set up the following equations:

x + y = 8

x² + y² = 40.

___________

x + y = 8

y = 8 – x

(y)² = (8 – x)²

y² = (8 – x)²

x² + y² = 40

x² + (8 – x)² = 40

x² + 64 – 16x + x² = 40

2x² – 16x + 64 = 40

2x² – 16x = -24

2(x² – 8x) = -24

x² – 8x = -12

x² – 8x + 12 = 0

(x – 6)(x – 2) = 0

x = 6 or 2.

x + y = 8 →

(6 or 2) + y = 8

y = 8 – (6 or 2)

y = 2 or 6.

___________

x + y = 8 →

6 + 2 = 8 →

8 = 8 ✓

x² + y² = 40 →

6² + 2² →

36 + 4 = 40 →

40 = 40 ✓

Answer:

A = 34.1 cm²

Step-by-step explanation:

Shape is a triangle.

Formula for area of a triangle is;

A = ½bh

In this triangle;

b is base = 11 cm

h is height = 6.2 cm

Thus;

A = ½ × 11 × 6.2

A = 34.1 cm²

Answer:

13. A

14. B

15. C

16. B

17. C

Step-by-step explanation:

Answer:

5:2

Step-by-step explanation:

Since we know both the number of silver and gold coins, we can put it in ratio form. Pay attention to the order; since it’s asking for silver to gold coins, the ratio would be silver:gold. We can substitute the 5 and 2 for the gold and sliver values, so we get 5:2. This answer cannot be simplified so it will stay the same.

9514 1404 393

Answer:

  a = $0.95

Step-by-step explanation:

The cost of a sharpener is 'a', and the cost of a folder is $2.80 more, so is a+2.80. The total cost of 4 sharpeners and 7 folders is ...

  4a +7(a+2.80) = 30.05

  11a = 10.45 . . . . . . . . . . . subtract 19.60

  a = 0.95 . . . . . . . . . . . divide by 11

The cost of a sharpener is a = $0.95.

From What I understood, I need to find the area and perimeter of those shapes

Bolded words are answers

1. Triangle

Area

9*15=135

135/2=67.5

Perimeter

15+15=30

30+9=39

2. Pentagon

Area: 15.48

Perimeter: 15

Hope this Helps!

i think its D if im not mistaken....

Answer:

Blue

Step-by-step explanation:

A straight line has an angle of 180 on each side.

5a+18+24-a+8a-30=180

12a+12=180

12a=168

a=14

Green: 14x5+18=88

Blue:24-14=10

Yellow:8x14-30=82

Answer:

Step-by-step explanation:

MEAN - a). Finds the mean of a numerical data set.

MIN - f). Finds the lowest value of a data set.

COUNT - c). Counts the number of values input for a highlighted data set

MEDIAN - d). Finds the middle value of a numerical data set

MAX - e). Finds the greatest value for a data set

SUM - g). Adds all the numbers in a highlighted range together

MODE - b). Finds the number that occurs most often in a highlighted data set.

Answer:

13 miles in feet = 68640 feet

we now need to get the number of cars, we use division to get groups

68640 / 15 = 4576.

we now see there are 4576 cars in the traffic jam.

Less, they are longer cars so the divosor would no longer be 15, it would be a higher number. 4576 cars would  not be able to fit in a 13 mile stretch if those cars were any longer.

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

probability of getting a number greater than 4 on a die, is 2 out of 6 or [tex]\frac{2}{6} = \frac{1}{3}[/tex]

probability  of getting an A on the spinner is [tex]\frac{4}{8}=\frac{1}{2}[/tex]

probability  of getting both is [tex]\frac{1}{3} *\frac{1}{2} = \frac{1}{6}[/tex]

Answer: M= 3/5

Step-by-step explanation:  3/5x=3= M=3/5

Kirk can spend $695.89 each month.

Given that Kirk worked hard over the summer and saved $3,251.35 to live on during the next two semesters of school, and Kirk will receive a scholarship each semester for $1,157.9, to determine, if he plans to use up all of his savings while at school, how much money can Kirk spend each month, on average, for things like groceries, entertainment, and miscellaneous items, assuming two semesters equals 8 months total, the following calculation must be made:

Therefore, Kirk can spend $695.89 each month.

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Answer:

Kirk can spend $695.89 each month.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

30 Gallons

Step-by-step explanation:

Ok, lets see the difference the 9 gallons of gas did to Rafael's gas tank.

1/2 --> 0.5

4/5 --> 0.8

0.8-0.5 = +0.3

The tank was made 30% more full with the gas.

Next, we can use this to find the amount of gas which would need to be used to fully fill the tank, given that it was empty.

So to make it easier, say we filled it up a third of 30% to get an easier to work with 10% of fill of the gas tank.

9 / 3 ---> 3 Gallons

Now, multiply this by 10 to get the 100%

3 * 10 = 30 Gallons

All done!

Answer:

here you go i guess

Step-by-step explanation:

Answer:

8.6

Step-by-step explanation:

a^2+b^2=c^2

7^2+5^2=c^2

49+25=c^2

74=c^2

8.6=c

Answer:

1080 cheeseburgers

Step-by-step explanation:

If the number of cheeseburgers are three times as many as the hamburgers, then 3x360, which is the hamburgers = 1080

I do not know what to do with the Sunday information, so perhaps the question is not complete.

Hope this helps!

Answer:

Janet has $21 and Marta has $17

Step-by-step explanation:

38-4 since Janet has 4 more dollars

34/2 since there are two people

17 but you still have to add the 4 to Janet since she has 4 more dollars

Answer:

Marta has $15, and Janet has $23.

Step-by-step explanation:

38 in half is 19.

19 + 4 = 23

19 - 4 = 15

Answer: 81y^2

Step-by-step explanation: a^2-2ab+b^2=(a-b)^2 Plug values and solve.

Answer:

Please restate your question.

It needs the y-intercept to be decipherable.

Step-by-step explanation:

Answer:

its decreasing

Step-by-step explanation:

the graph will always be read from left to right.

The Equation to represent the "total-cost", "t", for purchasing "5 hardcover books", 8 "paperback-books", and 6 music CDs during the sale is t = 4h + 6.4p + 6m - 1.

The cost of the hardcover-book is = $h,

The cost of the paperback-books is = $p,

The cost for one music-CD is = $m,

In the sale, the price of each book is reduced by 20%, and

The price of music-CD is reduced by $1,

So, the cost of 5 hardcover books during the sale is:

⇒ 5h - 0.2(5h) = 4h     ...because 20% = 0.2;

and the cost of 8 paperback books during the sale is:

⇒ 8p - 0.2(8p) = 6.4p,

The cost of 6 music CDs during the sale is ⇒ 6m - 1;

So, the total cost, "t", for buying 5 hardcover books, 8 paperback books, and 6 music CDs during the sale is:

⇒ t = 4h + 6.4p + 6m - 1,

Therefore, the required equation of "total-cost" is t = 4h + 6.4p + 6m - 1.

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