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Fynjy0 [20]
3 years ago
14

What is the value of x? to x = [?]° o

Mathematics
1 answer:
Ugo [173]3 years ago
6 0

Answer:

The value of x from the figure is 58 degrees

To get the value of x, we will use the formula:

The angle at the vertex = 1/2(difference of angles at the arc)

Angle at the vertex = 1/2(160 - x)

51 = 1/2(160 - x)

102 = 160 - x

x = 160 - 102

x = 58 degrees

Hence the value of x from the figure is 58 degrees

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The slope of AB is 3 over 4 and point A is (2. 9). How many possible locations are there for point
nignag [31]

Answer:

Part 1) There are infinity locations for the point B

Part 2) see the explanation

Step-by-step explanation:

Part 1) How many possible locations are there for point  B?

we know that

The equation of a line in point slope form is equal to

y-y1=m(x-x1)

where

m=\frac{3}{4}

(x1,y1)=(2,9)

substitute

y-9=\frac{3}{4}(x-2)

Convert to slope intercept form

y-9=\frac{3}{4}x-\frac{6}{4}

y=\frac{3}{4}x-\frac{6}{4}+9

y=\frac{3}{4}x+\frac{30}{4}

y=0.75x+7.5

Point B can be any point ( different from point A) that satisfies the linear equation

therefore

There are infinity locations for the point B

Part 2) Describes a method to location the point

To locate the point, one of the two coordinates must be known. The known coordinate is placed into the linear equation and the equation is solved to find the value of the missing coordinate

Example

Suppose that the x-coordinate of point B is 4

For x=4

substitute in the linear equation

y=0.75(4)+7.5=10.5

so

The coordinates of point B is (4,10.5)

3 0
3 years ago
What is the sum _71/6 +35/6 in the simplest terms ? Show your work
adoni [48]

Answer:

The answer in simplest term is 35.33333334.

Step-by-step explanation:

First, we need to divide 71 and 6.

71/6 = 23.66666667.

Now we need to divide 35 and 6.

35/6 = 11.66666667.

Now we need to add the two quotients.

23.66666667 + 11.66666667 = 35.33333334.

And that is the final answer.

I hope this helps!

7 0
3 years ago
What is the value of a? 5 units 5 and one-third units 6 and two-thirds units 7 units
blagie [28]

The missing figure is attached

The value of a is 5\frac{1}{3} ⇒ 2nd answer

Step-by-step explanation:

Let as revise the Pythagoras Theorem

In the right triangle ABC, where ∠B is a right angle (AC is the hypotenuse, Ab and BC are the legs of the right angle)

  • (AC)² = (AB)² + (BC)²
  • (AB)² = (AC)² - (BC)²
  • (BC)² = (AC)² - (AB)²

If BD is drawn perpendicular to AC, we can use these rules

  • (AB)² = AD × AC
  • (BC)² = CD × AC
  • (BD)² = AD × CD
  • AB × BC = BD × AC

In Δ WYZ

∵ m∠WYZ = 90°

- By using Pythagoras Theorem

∴ (WZ)² = (WY)² + (YZ)²

∵ WY = 4 units

∵ YZ = 3 units

∵ WZ = c units

∴ c² = (4)² + (3)²

∴ c² = 16 + 9 = 25

- Take √ for both sides

∴ c = 5

In Δ XWZ

∵ m∠XWZ = 90°

∵ WY ⊥ XZ

- We can use the rule (WZ)² = ZY × ZX

∵ (WZ)² = ZY × ZX

∵ WZ = 5 units

∵ ZY = 3 units

∵ ZX = (3 + a) units

∴ (5)² = 3(3 + a)

∴ 25 = 9 + 3a

- Subtract 9 from both sides

∴ 16 = 3a

- Divide both sides by 3

∴ a = 5\frac{1}{3}

The value of a is 5\frac{1}{3}

Learn more:

You can learn more about the rules of the right triangle in brainly.com/question/14390928

#LearnwithBrainly

6 0
3 years ago
Read 2 more answers
The Westside Bakery uses 310 pounds of flour to make 1,000 loaves of bread. Each loaf
DanielleElmas [232]

Answer:

310 / 1000 = 0.31 pounds

Step-by-step explanation:

When dividing by a number that is 1 less 0 than how many digits the number has, we can move the decimal point the number of times zero is repeated at the end of the number.

1000 has 3 zeroes, so we move the decimal point 3 moves to the left.

So, we do this:

After 0 moves: 310

After 1 move: 31.0

After 2 moves: 3.10

After 3 moves = 0.310

0.310 is the same as 0.31

Therefore, 0.31 pounds of flour are in each loaf.

7 0
3 years ago
Emma ran 4 1/2 miles. For 3/4 of her run,she ran uphill. How many miles did she run uphill?
Gemiola [76]

Answer:

its c hope it helps not totally sure but yeah

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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