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Drupady [299]
3 years ago
10

What is the distance from point Yto wx in the figure below?

Mathematics
2 answers:
vovikov84 [41]3 years ago
6 0

Answer:

C

Step-by-step explanation:

The distance YZ is sqrt(34^2-30^2)=16

erica [24]3 years ago
5 0
The answer is B.162
If I’m correct
Hope this helps
You might be interested in
42:28
gogolik [260]

Answer:

The statements about arcs and angles that are true in the figure are;

1) ∠EFD ≅ ∠EGD

2) \overline{ED}\cong \overline{FD}

3) mFD = 120°

Step-by-step explanation:

1) ∠ECD + ∠CEG + ∠CDG + ∠GDE = 360° (Sum of interior angle of a quadrilateral)

∠CEG = ∠CDG = 90° (Given)

∠GDE = 60° (Given)

∴ ∠ECD = 360° - (∠CEG + ∠CDG + ∠GDE)

∠ECD = 360° - (90° + 90° + 60°) = 120°

∠ECD = 2 × ∠EFD (Angle subtended is twice the angle subtended at the circumference)

120° = 2 × ∠EFD

∠EFD = 120°/2 = 60°

∠EFD ≅ ∠EGD

∠ECD = 120°

∠EGD = 60°

∴∠EGD ≠ ∠ECD

2) Given that arc mEF ≅ arc mFD

Therefore, ΔECF and ΔDCF are isosceles triangles having two sides (radii EC and CF in ΔECF and radii EF and CD in ΔDCF

∠ECF = mEF = mFD = ∠DCF (Given)

∴ ΔECF ≅ ΔDCF (Side Angle Side, SAS, rule of congruency)

\\ \overline{EF}\cong \overline{FD} (Corresponding Parts of Congruent Triangles are Congruent, CPCTC)

∠FED ≅ ∠FDE (base angles of isosceles triangle)

∠FED + ∠FDE + ∠EFD = 180° (sum of interior angles of a triangle)

∠FED + ∠FDE = 180° - ∠EFD = 180° - 60° = 120°

∠FED + ∠FDE = 120° = ∠FED + ∠FED (substitution)

2 × ∠FED  = 120°

∠FED = 120°/2 = 60° = ∠FDE

∴ ∠FED = ∠FDE = ∠EFD =  60°

ΔEFD  is an equilateral triangle as all interior angles are equal

\\ \overline{EF}\cong \overline{FD}\cong \overline{ED} (definition of equilateral triangle)

\overline{ED}\cong \overline{FD}

3) Having that ∠EFD = 60° and ∠CFE = ∠CFD (CPCTC)

Where, ∠EFD = ∠CFE + ∠CFD (Angle addition)

60° = ∠CFE + ∠CFD = ∠CFE + ∠CFE (substitution)

60° = 2 × ∠CFE

∠CFE =60°/2 = 30° = ∠CFD

\overline{CF}\cong \overline{CD} (radii of the same circle)

ΔFCD is an isosceles triangle (definition)

∠CFD ≅ ∠CDF (base angles of isosceles ΔFCD)

∠CFD + ∠CDF + ∠DCF = 180°

∠DCF = 180° - (∠CFD + ∠CDF) = 180° - (30° + 30°) = 120°

mFD = ∠DCF (definition)

mFD = 120°.

5 0
3 years ago
What is the probability of pulling a jack or a heart out of a deck of 52 cards
ikadub [295]

Answer:

 =4/13

Step-by-step explanation:

There are 13 hearts in a deck

4 jacks

but 1 is the jack of hearts so we don't double count it

13+4-1 = 16

P( heart or a jack) = jack or heart/ total

                             = 16/52

                             =4/13

8 0
3 years ago
An investment strategy has an expected return of 15 percent and a standard deviation of 9 percent. Assume investment returns are
IgorLugansk [536]

Answer:

68% of an investment earning a return between 6 percent and 24 percent.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 15

Standard deviation = 9

How likely is it to earn a return between 6 percent and 24 percent?

6 = 15 - 1*9

6 is one standard deviation below the mean

24 = 15 + 1*9

24 is one standard deviation above the mean

By the empirical rule, there is a 68% of an investment earning a return between 6 percent and 24 percent.

6 0
3 years ago
I need help with this math problem
Bas_tet [7]
There is the answer for it

6 0
3 years ago
The 5th graders decided to have a bake sale to raise money for graduation! They had 332 people volunteer to bake. Each volunteer
m_a_m_a [10]

Answer:

249 brownies in each bag.

Step-by-step explanation:

I know this because 332x15=4,980

And 4,980 divided by 20 equals 249

Hope this helps :)

8 0
3 years ago
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