82°
57°
The measure of x is
The measure of y is
The measure of z is
to
Z
102
62⁰

8257The Measure Of X IsThe Measure Of Y IsThe Measure Of Z IstoZ10262

Answers

Answer 1

Answers:

x = 16

y = 41

z = 123

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

Explanation:

Focus on the large triangle on the left.

The three interior angles of any triangle add to 180 degrees.

57+82+y = 180

y+139 = 180

y = 180-139

y = 41

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

Now focus on the large triangle on the right.

We'll use the same idea as before.

x+102+62 = 180

x+164 = 180

x = 180-164

x = 16

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

The last triangle to focus on is the small one in the middle.

Use the values of x and y to find z.

x+y+z = 180

16+41+z = 180

57+z = 180

z = 180-57

z = 123

Answer 2

Answer:

The angles inside of a triangle always add up to 360 therefore we can easily determine what the angle of x and y is because they are a part of two triangles that have two angles each.  Let's first determine x.

[tex]x = 180 - (102+ 62)[/tex]

[tex]x = 180 - 164[/tex]

[tex]x = 16[/tex]

The second step that we need to do is to determine y using 82 and 57.

[tex]y = 180 - (82 + 57)[/tex]

[tex]y = 180 - 139[/tex]

[tex]y = 41[/tex]

The final step is to determine z using x and y

[tex]z = 180 - (x + y)[/tex]

[tex]z = 180 - (16 + 41)[/tex]

[tex]z = 180 - 57[/tex]

[tex]z = 123[/tex]

Therefore, x = 15 and y = 41 and z = 123

Hope this helps!


Related Questions

A car travels for 7 hours and 50 minutes at an average speed of 130 km/h. How far has the car travelled (in km)?​

Answers

The car that travels for 7 hours and 50 minutes at an average speed of 130 km/h covered a distance of 1017.9 km.

How to find the distance travelled by a car?

The car travels for 7 hours and 50minutes at an average speed  of 130 km/h.

Therefore,

speed = distance / time

speed = 130 km/h

time = 7 hours 50minutes = 7 + 0.833333 = 7.83 hours

Therefore,

130 = distance / 7.83

cross multiply

distance = 7.83 × 130

distance = 1017.9 km

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The term "Volume" in finance means...
A)highest price paid for a share in a given day
B)total shares traded during a certain time frame
C)change between current day's and previous day's close
D)loudness or softness in the market

Answers

The “Volume” in finance means total shares traded during a certain time frame option (B) is correct.

What is shares?

To make a profit, share traders buy and sell the stock of companies listed on the stock exchange.

The number of shares traded in a certain stock, index, or other investment during a given period of time is known as volume.

Thus, the “Volume” in finance means total shares traded during a certain time frame.

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Spinner A and Spinner B below are each to be spun once.

If the pointer CANNOT land on a line, how many different outcomes of a number and a color are possible?

18
12
9
6

Answers

Answer:

9

Step-by-step explanation:

Spinner A = 6 outcomesSpinner B = 3 outcomes6 + 3 = 9

In how many ways can we stack 10 books?

Answers

The arrangement of items can be done with the use of permutation. The stacking of the number of books in the question can be done in 3,628,800 ways.

The arrangement of a given number of items can be done when definite numbers are to be considered at once by the use of permutation. A permutation is a mathematical method that can be used to determine the number of ways by which given items are to be arranged in a particular order.

Given that 10 books are to be stacked, the number of ways (n) that this can be done can be determined by:

n = 10!

  = 10 x 9 x 8 x7 x6 x5 x4 x3 x2x 1

n = 3,628,800

Therefore, the 10 books can be stacked in 3,628,800 ways.

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PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL

Answers

your answer would be 147°

solution:

since ∠x and ∠y are supplementary angles. they must add up to 180°

so ∠+∠y=180°

     ∠x=180°-∠y

     = 180°- 33°

=147

Sophia and Emilio are looking for a daycare for their son, Michael. They want to make sure the daycare is midway between their jobs. Sophia works at the HEB located at (4, 6), and Emilio works at the Home Depot located at (1, 2). Where should the daycare be located?

(2.5, 4)

(1.5, 5)

(1.5, 2)

(2,3)

Answers

Answer: 2,3

Step-by-step explanation: I think this is the right answer. Have a good day!! :)

Please help me guys

a) If 2 Tan a = 3 Tan B, then show that Tan (a-B) =5 sin2b/5Cos 2B-1

Answers

Given that :-

2 tan A = 3 tan B

Prove that :-

Tan (a-B) = [ sin 2B/(5 – cos 2B)]

Taking RHS :-

= sin 2B/(5 – cos 2B)] = [(2 tan B)/(1 + tan2B)]/ [5 – {(1 – tan2B)/(1 + tan2B)}]

= (2 tan B)/ [5(1 + tan2B) – 1 + tan2B]

= (2 tan B)/[5 + 5 tan2B – 1 + tan2B)

= (2 tan B)/(4 + 6 tan2B)

= (2 tan B)/[2(2 + 3 tan2B)]

= tan B/(2 + 3 tan B tan B)

Dividing the numerator and denominator by 2,

= [(1/2) tan B]/ [1 + (3/2) tan B tan B]

= [(3/2) tan B – tan B]/[1 + tan A tan B] {from (i)}

= (tan A – tan B)/(1 + tan A tan B)

= tan(A – B) = LHS

Which of these is an exponential parent function?

Answers

Did you provide an picture ?!

Pedro is sailing his boat and maps his route on a coordinate plane. He starts at the origin and then sails 1.2 kilometers west, 1.5 kilometers south, 2 kilometers west again, and 2.8 kilometers north.

Answers

Pedro's total distance moved is 7.5 kilometers

How to determine the total distance?

The given parameters are:

West = 1.2 kilometersSouth = 1.5 kilometers West = 2 kilometersNorth = 2.8 kilometers

The total distance is the sum of the above distances i.e.

Total = 1.2 km + 1.5 km + 2 km + 2.8 km

Evaluate

Total = 7.5 km

Hence, Pedro's total distance moved is 7.5 kilometers

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Help (ಥ‿ಥ)
Factor the perfect square trinomial 25x2 - 60x + 36.
A. (5x – 4)(5x-9)
B. (5x-6)2
C. (5x - 3)2
D. (5x - 12)(5x - 3).

Answers

Answer: B

Step-by-step explanation:

What is the volume of a rectangular prism with the dimensions: base 238 cm, height 113 cm, and length 334 cm?

Answers

Answer: 8,982,596 cm

Step-by-step explanation:

Rectangular Prism Volume = Height * Length * Width/base

238 cm * 113 cm * 334 cm = 8,982,596 cm

Jacob learns that the mass of a new planet found in the solar system is 2,330,000,000,000,000,000,000,000 kilograms. What is the mass represented in scientific notation? A. 2.33 × 1024 kilograms B. 2.33 × 10-24 kilograms C. 2.33 × 1023 kilograms D. 23.3 × 1023 kilograms

Answers

Answer:

2.33 x  10^24  kilograms

Step-by-step explanation:

hope this helps!!

=2.33 × [tex]10{^{21}[/tex]

scientific notation

= 2.33e21

scientific e notation

= 2.33 × [tex]10{^{21}[/tex]

engineering notation

= 2.33 × [tex]10{^{21}[/tex]

21

Order of Magnitude

for scientific and standard forms

two setillion three hundred thirty quintillion

−7 ≤ −2; Add 9 to both sides

Answers

Answer:

2≤7

Step-by-step explanation:

-7+9≤-2+9

2≤7

Please help I’m very confused

Answers

Answer:

C. 21 1/9

Step-by-step explanation:

6 1/3 cups / 0.3 cups in a serving = 21.11111... or 21 1/9

AABC is isosceles.
mZC = 25° and mZA = 8x - 7.

Answers

Answer:

x = 4

Step-by-step explanation:

<C = <A

25° = 8x - 7

32 = 8x

x = 4

x–23=17 solving the following equation

Answers

Answer:

X=42

Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals  42

Please help explain, tyy

Answers

Answer:

3. (3, 6)
4. (3, 7)
5. (3, 36)

Step-by-step explanation:

These are slope functions, so there's is no definite answer for x as it tells you to solve when x is 3. So put simply lets do that. Knowing that x is now 3, we can solve for all the functions. This will give you y, which is f(x) which just tells you the equations represents a function or slope on a graph. All these equations create lines. Solving for question 3, 3 + 3 is 6, so f(x) = 6, and the answer is (3, 6). For 4, you do 3 x 3 - 2, which is 9 - 2 = 7. So (3, 7). So on and so forth.

what is 7sqrt 28z+sqrt63z

Answers

Answer:

[tex]17\sqrt{7z}[/tex]

Step-by-step explanation:

[tex]7\sqrt{28z}+\sqrt{63z}\\ = 14\sqrt{7z}+3\sqrt{7z} \\= 17\sqrt{7z}[/tex]

Please help me out!

Answers

Answer:

it is the there'd one

if this is wrong sorry

Math question help pls

Answers

Answer:

the circumference of the circle is 50.24

Can someone help me with this please?

Answers

The final matrix will be as follows   [tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]

What are matrices?

A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns in mathematics.

The calculation of the given matrix is as follows:-

[tex]\rm D-C= \left[\begin{array}{ccc}13&2&-5\\6&-4&0\\\end{array}\right] - \left[\begin{array}{ccc}1&4&-8\\3&-5&2\\\end{array}\right] \\[/tex]

[tex]\rm D-C= \left[\begin{array}{ccc}(13-1)&(2-4)&(-5+8)\\(6-3)&(-4+5)&(0-2)\\\end{array}\right][/tex]

[tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]

Hence the final matrix will be as follows   [tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]

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A nickel has a diameter of 21.21 millimeters. What is the area of the face of a nickel? Use 3.14 for π . Round to the nearest hundredth if necessary.

Answers

The area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)

What is Area of Circle?

The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.

As the surface of nickel is in shape of 2-D circle.

radius of circle = [tex]\frac{21.21}{2}[/tex] = 10.605 mm

Area of circle= [tex]\pi r^{2}[/tex]

                      = 3.14* 21.21*21.21

                      = 353.143 [tex]mm^{2}[/tex]

                      = 353.14 [tex]mm^{2}[/tex] (nearest hundredth)

Thus, the area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)

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A raised gardening bed contains 24 cubic feet of dirt. The bed is 6 feet wide and 8 feet long. How deep is the dirt in inches?

Answers

Answer:

0.5 feet

Step-by-step explanation:

Volume = Length × Width × Depth

Here :

Volume = 24 ft³Width = 6 ft.Length = 8 ft.

Solving :

24 = 8 x 6 x DepthDepth = 24/48Depth = 0.5 feet

Tins of paint are filled at the rate of 2m3 per minute.
How many 750 ml tins of paint can be filled in 1 hour?

Answers

Answer:

  160,000 tins

Step-by-step explanation:

To find the number of tins, divide the fill rate by the volume per tin.

__

  (2·(1000 L)/min)×(60 min)/(1 h)/(0.75 L/tin) = 160,000 tin/h

160,000 tins of paint can be filled in 1 hour.

_____

Additional comment

That's one tin every 22.5 milliseconds. It would be a feat of engineering to move that volume without splashing.

There are 60 minutes per hour. There are 1000 liters per cubic meter.

pls help what is the m ACD?

Answers

Answer:

Angle ACD = 54° ( Angle standing on same arc at the circumference are equal )

which expression is equivalent
to -14 - 35 d please help for 50 points

Answers

Answer:

number 1

Step-by-step explanation:

the first one on the left

Find the surface area

Answers

Answer:

should be 872 in^2

Step-by-step explanation:

Answer:

Area = 872

Step-by-step explanation:

Formula for the surface area of a rectangular prism is

A=2(wl+hl+hw)

Plug in

A =2·(8·17+12·17+12·8)=872

A 12 _ foot ladder is leaning against a house the ladder reaches 7.7 feet up the wall wha is the angle of elevation of the ladder?

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

help with this??? i beg of you☹️☹️

Answers

Answer:

The answer is 3 cm.

Step-by-step explanation:

To find the width of the cereal box, we must first take the volume and divide it by the length and then divide that by the height.


For this equation, we would do the following:

3456 ÷ 36 = 96 cm²

Now that we have divided volume by length, let's divide by height next:

96 ÷ 32 = 3 cm

Now we know the height of the box. To check if this is correct, lets multiply the length, height, and width and see if we get the volume that we started with.

3 × 32 × 36 = 3456 cm³

Since we got the original volume that we started with, we know that the width is 3 cm which is your answer.

is 300 greater than 1/2?

Answers

Answer:

yes

Step-by-step explanation:

1/2 is half of 1.

300 is 300 times greater than 1, so 300 is 600 times greater than 1/2.

Answer:

Yes, 300 is greater than 1/2

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