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ad-work [718]
4 years ago
7

Last question. What is m∠CAD? a. 20° b. 80° c. 100° d. 110°

Mathematics
2 answers:
Naya [18.7K]4 years ago
6 0
C. 100 degrees 

Use the exterior angle theorem or supplemental angles and consecutive interior sum of angles (80 + 20 + CAB=180, CAB=80, CAB + CAD=180, 80 + CAD=180, CAD=100)
enot [183]4 years ago
5 0
< CAD = < ACB + < CBA
< CAD = 80 + 20
< CAD = 100
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Is x^2 + 1/x = 4 a quadratic equations​
Liono4ka [1.6K]

Answer:

\large\boxed{\pink{ \leadsto The \ given \ equation \ is \ not \ a \ Quadratic \ equation . }}

Step-by-step explanation:

Given equation to us is ,

\green{\implies x^2+\dfrac{1}{x}=4 }

So , a equation is said to be a quadratic equation if the highest degree of the variable is 2 . On simplifying the Equation ,

\implies x^2 +\dfrac{1}{x}=4

Taking x as LCM ,

\implies \dfrac{x^2.x + 1 }{x}= 4

Transposing x to RHS .

\implies x^3 + 1 = 4x

Putting all terms in LHS

\boxed{\bf \implies x^3 - 4x - 1 = 0 }

Since here the highest degree of the variable is 3 not 2 . So its a cubic equation and not a quadratic equation .

<h3><u>Hence</u><u> </u><u>the </u><u>given </u><u>equation </u><u>is</u><u> </u><u>not</u><u> </u><u>a</u><u> </u><u>quad</u><u>ratic</u><u> equation</u><u> </u><u>.</u></h3>
4 0
3 years ago
What is the y-intercept -x+5y=45
Karo-lina-s [1.5K]

To find the y-intercept, we can convert this to slope-intercept form, or replace the value of x with 0 and solve for y.

We'll do both first.

-x + 5y = 45

5y = 45

Divide both sides by 5.

y = 9


Now let's convert it to slope-intercept.

-x + 5y = 45

Add x to both sides.

5y = 45 + x

Divide both sides by 5.

y = 1/5x + 9

y = 9

<h3><u>The y-intercept of our line is 9.</u></h3>
3 0
3 years ago
An alien blob started with a mass of 13 kg and is doubling in size every day. How large will the blob be after 2 weeks?
Reptile [31]

Answer:

106,496 kg

Step-by-step explanation:

3 0
3 years ago
Two cubes have sides of length 3 cm and 8 cm. what is the ratio of their respective surface areas?
Phoenix [80]

The surface area formula for a cube is: 6 * s^2, where s is the side length.

The two surface areas are:

6 * 3^2 = 54

and

6 * 8^2 = 384

The ratio of their surface areas, from the surface area of the smaller cube to the surface area of the larger cube is:

54/384 = 9/64

The answer is 9/64.

Note that another way to to find the ratio of the squares of the side lengths of the cubes.

7 0
3 years ago
Read 2 more answers
For which equation is x = 7 the solution? <br> 9 x = 63 <br> 5 x = 40 <br> 7 x = 0 <br> 6 x = 36
romanna [79]

Answer:

1. 9x = 63

Step-by-step explanation:

9x = 63

if x=7, then 9(7) = 63

9*7=63

63 = 63

6 0
3 years ago
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