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3 years ago

Solve this please!!!!!

Mathematics

2 answers:

AlladinOne [14]3 years ago

3 0

20) Answer is: x=76
21) Answer is x=15

Margaret [11]3 years ago

3 0

Answer:

20) x=76

21) x=15

Step-by-step explanation:

20) 152+x-48=180

76=x

152+76-48=180

21) 90=6x

x=15

90=(6)(15)

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Given ΔADC and ΔAEB, What is AE?

chubhunter [2.5K]

Answer:

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the $\triangle ADC \text { and }\triangle AEB :$

1. $\angle B = \angle C = 90^\circ$

2. $\angle A$ is common to both the triangles.

3. Two angles are common, so the third angle $\angle E$ is also equal to $\angle D$ .

All the three angles in the $\triangle ADC \text { and }\triangle AEB$ are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

BC = 55 units

AB = AC - AB = 33 units

Let side AE = $x$ units

Side AD = AE + ED

So, AD = $x + 72$

Using the ratio:

$\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units$

So, AE = 43.2 units

4 0

3 years ago

Which ordered pair is generated from the equation shown below? y = 3x + 2 A. (3, 11) B. (3, 9) C. (5, 15) D. (2, 4)

borishaifa [10]

Answer:

y = 3x + 2

There slope is 3 and intercept is 2.

<u>First find what are the 2 pair that given by slope =3</u>

First consider A. (3, 11) and B. (3, 9)

Tan α = \fraction(11-9)(3-3)

It is undefine.

Next consider A. (3, 11) and BC (5,15)

Tan α = \fraction(15-11)(5-3)

Next consider A. (3, 11) and D. (2,4)

Tan α = \fraction(11-4)(3-2)

Next consider B (3, 9) and C. (5,15)

Tan α = \fraction(15-9)(5-3)

So this is ordered pair is generated from slope =3

Step-by-step explanation:

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nataly862011 [7]

Answer:

the answer is d

Step-by-step explanation:

the x values don't repeat so therefore It is a function.

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3 years ago

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What is the axis of symmetry for f(x) = −5x2 − 20x − 10?

djyliett [7]

This graph is a parabola. Therefore, the point of symmetry occurs at the x where f'(x)=0. From this we can find the axis of symmetry:

$f(x)=-5x^2-20x-10\\f'(x)=-10x-20=0\\-10(x+2)=0\\x+2=0\\x=-2$

The axis of symmetry is x = 2.

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Answer:

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Step-by-step explanation:

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