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marta [7]
3 years ago
13

How many triangles can be constructed with angles measuring 25º, 25º, and 130º? A. one B.none C.more than one

Mathematics
2 answers:
uysha [10]3 years ago
5 0

Answer:

C. More than one

Step-by-step explanation:

We are given the angles of a triangle as 25°, 25° and 130°

In order for these angles to construct a triangle, the sum of the three angles must be 180°.

So, we get that,

25° + 25° + 130° = 50° + 130° = 180°

Since, the sum of the angles is 180° .

Therefore, many triangles can be drawn using the angles 25°, 25° and 130°.

Hence, option C is correct.

Dmitry_Shevchenko [17]3 years ago
3 0
The answer is A one triangle all those angles equal 180
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If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
scZoUnD [109]

Answer:

Option B m<ZA+m<ZB = 155° is correct option.

Step-by-step explanation:

We know that sum of angles of triangle is equal to 180°

And Isosceles triangle, 2 angles are same

So, let  Angle 1 = x

Angle 2 = x

Angle 3 = 130°

Finding values of angle x

x+x+130=180

2x=180-130

2x=50

x=25

So, Angle 1 = 25 °

Angle 2 = 25°

As, angle B is greater than 90°, the sum of angles added must be greater than 90°

So, Option A, C and D can't be correct, as their sum is less than 90°

Option B m<ZA+m<ZB = 155° is correct option.

Verify:

m<ZA = 25° (as found earlier)

m<ZB = 130° (given)

So, m<ZA+m<ZB = 155°

25°+130° = 155°

8 0
3 years ago
Is my answer correct or no? <br> ---&gt; show explanation &amp; details if i am wrong!!!
neonofarm [45]

Answer:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle ⇒ 3rd answer

Step-by-step explanation:

From the graph of the circle

∵ The center of the circle F is at the origin

∴ F is (0 , 0)

∵ The circle passes through point (7 , 0)

- The length of the radius of the circle is the distance between

   the center of the circle and a point on the circle

∴ r is the distance between points (0 , 0) and (7 , 0)

∴ r=\sqrt{(7-0)^{2}+(0-0)^{2}}=\sqrt{49}=7

∴ The length of the radius of the circle is 7 units

Let us find the distance between point (7 , -7) and the origin (0 , 0)

  • If the distance is equal to the radius of the circle, then the point is on the circle
  • If the distance is greater than the radius, then the point is outside the circle
  • If the distance is less than the radius, then the point is inside the circle

∵ The distance =  \sqrt{(7-0)^{2}+(-7-0)^{2}}=\sqrt{49+49}=\sqrt{98}=7\sqrt{2}

∵ r = 7

∵ 7\sqrt{2} > 7

∴ The distance is greater than the radius of the circle

∴ Point (7 , -7) lies outside the circle

The correct answer is:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle

<em>Your answer is not correct, the correct answer is the 3rd answer</em>

3 0
3 years ago
Round 4.675 to the nearest cent
Viktor [21]
Money is written out to the hundredths place, so when rounding to the nearest cent, round to the hundredths place. In 4.675, the 7 is in the hundredths place. The value to its right, 5, is greater than 4, so the 7 is rounded up to 8. So 4.675 to the nearest cent is 4.68
3 0
3 years ago
Bridget, Jim and Krutika share some sweets in the ratio 4:5:1. Bridget gets 39 more sweets than Krutika. How many sweets does Ji
Yakvenalex [24]

Step-by-step explanation:

Let Bridget, Jim and Krutika's shares be 4x, 5x and x respectively.

According to the given information:

4x = x + 39

4x - x = 39

3x = 39

x = 39/3

x = 13

5x = 5*13 = 65

Hence, Jim got 65 sweets.

8 0
3 years ago
Could someone please explain how to solve for the area?
mixas84 [53]

9514 1404 393

Answer:

  779.4 square units

Step-by-step explanation:

You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.

One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...

  A = (1/2)r²sin(α)

Since there are n such triangles, the area of the n-gon is ...

  A = (n/2)r²sin(360°/n)

__

For a hexagon (n=6) with radius 10√3, the area is ...

  A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units

8 0
2 years ago
Read 2 more answers
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