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ivanzaharov [21]
4 years ago
8

Use the relationship between the angles in the figure to answer the question.

Mathematics
1 answer:
Anni [7]4 years ago
4 0

Answer:

The third one is correct for the last one.

Step-by-step explanation:

52 + 38 = 90

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Suppose a triangle has two sides of length 2 and 3 and that angle between these two sides is 60 degrees. What is the length of t
Rudiy27

Answer:

The measure of the third side is \sqrt{7}\ units

Step-by-step explanation:

we know that

Applying the law of cosines

c^2=a^2+b^2-2(a)(b)cos(C)

where

C is the angle between side a and side b

we have

a=2\ units\\b=3\ units\\C=60^o

substitute

c^2=2^2+3^2-2(2)(3)cos(60^o)

c^2=13-(12)(\frac{1}{2})

c^2=13-6

c^2=7

c=\sqrt{7}\ units

5 0
3 years ago
Area of the grass area only:<br><br> Area of the track only:
VikaD [51]

Answer:

Step-by-step explanation:

area including track=area of 2 semi circles+area of rectangle

=2×1/2×π×46²+86×65

=2116 π+5590

area of grass=2×1/2×π×40²+80×65=1600π+5200

≈10226.55 m²

area of track=2116π+5590-1600π-5200

=516π+390

≈2011.06 m²

7 0
3 years ago
Use the diagram to find the measure of each angle. Enter the number only.
Pavlova-9 [17]

9514 1404 393

Answer:

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

Step-by-step explanation:

Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.

__

Working from the top and from the given angles, ...

  h = 60°

  f = g = 180° -h = 120°

  j = 124°

  k = i = 180° -124° = 56°

  a = 64°

  b = d = 90°

  c = e = 90° -64° = 26°

In summary, measures in degrees are ...

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

7 0
3 years ago
Factoring 0=6X^2+x-7
trapecia [35]
The answer is X=-7 and X=6
5 0
3 years ago
10 q<br> uarts = ____ cups
julia-pushkina [17]
10 quarts = 40 cups Explanation: Each quart is equal to 2 pints. So 10 multiplied by 2 is 20 pints. Each pint is equal to 2 cups. So 20 multiplied by 2 is 40.
7 0
3 years ago
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