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3 years ago

ZABD and ZDBC are supplementary angles.

Mathematics

2 answers:

Alecsey [184]3 years ago

5 0

Answer:

not letting u cheat but i will show u how its done

Step-by-step explanation:

180-134=x

AURORKA [14]3 years ago

3 0

Answer:

Solution given:

x+134=180°{linear pair}

x=180-134=46

x=46

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13x^-5 y^0/5^-3 z^-10

VMariaS [17]

Answer:

$\frac{1625z^{10}}{x^{5}}$

Step-by-step explanation:

We want to simplify:

$\frac{13x^{-5}y^0}{5^{-3}z^{-10}}$

We rewrite as positive index to get:

$\frac{13y^05^{3}z^{10}}{x^{5}}$

This simplifies to

$\frac{13*1*125z^{10}}{x^{5}}$

This will finally give us:

$\frac{1625z^{10}}{x^{5}}$

We cannot simplify further.

Hence the simplest form is $\frac{1625z^{10}}{x^{5}}$

7 0

3 years ago

Which of the following is the solution to the following solution of inequality x+2y<4 3x-y>2

mezya [45]

What are the possible answers?

5 0

3 years ago

Simplify. 7.8 + 3.9 asap

Dima020 [189]

The answer of this question is 11.7

6 0

4 years ago

ASAP! triangle ACD is an isosceles triangle. the height is 12. the base is 10. Round your angle measures to the nearest tenth. F

hammer [34]

Answer:

Part 1) The length of DC is $13\ units$

Part 2) The measures of the angles in the isosceles triangle are

The base angles are 67.4° and the vertex angle is 45.2°

Step-by-step explanation:

step 1

In the right triangle BDC Find the length of DC

Applying the Pythagoras Theorem

$DC^{2}=BC^{2} +BD^{2}$

we have

$BC=AB=10/2=5\ units$

$BD=12\ units$

substitute

$DC^{2}=5^{2} +12^{2}$

$DC^{2}=169$

$DC=13\ units$

step 2

Find the measures of internal angles in the isosceles triangle ABC

we know that

∠DAC=∠DCA ------> base angles

∠ADC ------> vertex angle

<em>Find the measure of angle DCA</em>

In the right triangle BDC

sin(∠DCA)=BD/DC

substitute the values

sin(∠DCA)=12/13

∠DCA=arcsin(12/13)=67.4°

∠DAC=∠DCA=67.4°

<em>Find the measure of angle ∠ADC</em>

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

∠DAC+∠DCA+∠ADC=180°

substitute

67.4°+67.4°+∠ADC=180°

∠ADC=180°-134.8°=45.2°

3 0

3 years ago

For each of the following, state whether you expect the distribution to be symmetric, right skewed, or left skewed. Also specify

igor_vitrenko [27]

Answer:

Q₃ - Q₂ > Q₂ - Q₁

$550,000 > $100,000

Therefore, the distribution is expected to be right skewed.

Since the distribution is right-skewed, the median would best represent a typical observation in the data.

Since the distribution is right-skewed, The inter-quartile range (IQR) would be a better choice to represent the variability of data.

Step-by-step explanation:

Housing prices in a country where 25% of the houses cost below $350,000.

Which means that first quartile is Q₁ = $350,000

50% of the houses cost below $450,000.

Which means that second quartile is Q₂ = $450,000

75% of the houses cost below $1,000,000

Which means that third quartile is Q₃ = $1,000,000

Recall that the distribution will be symmetric if the following relation holds true

Q₃ - Q₂ = Q₂ - Q₁

Q₃ - Q₂ = $1,000,000 - $450,000 = $550,000

Q₂ - Q₁ = $450,000 - $350,000 = $100,000

Hence the distribution is not symmetric since

Q₃ - Q₂ ≠ Q₂ - Q₁

The distribution is right skewed since

Q₃ - Q₂ > Q₂ - Q₁

$550,000 > $100,000

Therefore, the distribution is expected to be right skewed.

Since the distribution is right-skewed, the median would best represent a typical observation in the data

Therefore, A typical observation is best represented by the median.

Since the distribution is right-skewed, The inter-quartile range (IQR) would be a better choice to represent the variability of data.

Therefore, the variability in the observations is best measured by the inter-quartile range (IQR).

Note:

For a symmetric distribution, the mean would best represent a typical observation in the data and the variability of observations would be best represented using the standard deviation.

4 0

3 years ago

Read 2 more answers