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shusha [124]
2 years ago
5

Someone help me with this question!

Mathematics
2 answers:
siniylev [52]2 years ago
8 0

\qquad \qquad  \bf \huge\star \:  \:  \large{  \underline{Answer} }  \huge \:  \: \star

  • Angle BCA = 160°

\textsf{  \underline{\underline{Steps to solve the problem} }:}

By Exterior angle property :

\qquad❖ \:  \sf   \:4x - 114 + 5x - 182 = 5x - 100

\qquad❖ \:  \sf   \:9x -29 6 = 5x - 100

\qquad❖ \:  \sf   \:9x - 5x =  - 100 + 296

\qquad❖ \:  \sf   \:4x = 96

\qquad❖ \:  \sf   \:x = 24 \degree

Next, Angle BCA = 180° - Angle BCD

( linear pair )

[ let angle BCA = y ]

\qquad❖ \:  \sf   \:y = 180 - (5x- 100)

\qquad❖ \:  \sf   \:y = 180 - (5(24) - 100)

\qquad❖ \:  \sf   \:y = 180 - (120 - 100)

\qquad❖ \:  \sf   \:y = 180 - 20

\qquad❖ \:  \sf   \:y = 160 \degree

\qquad \large \sf {Conclusion}  :

  • Angle BCA = 160°
VMariaS [17]2 years ago
6 0

Answer: 160^{\circ}

Step-by-step explanation:

By the exterior angle theorem,

4x-14+5x-182=5x-100\\\\9x-196=5x-100\\\\4x=96\\\\x=24\\\\\implies m\angle BCD=20^{\circ}\\\\\implies m\angle BCA=160^{\circ}

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Kisachek [45]

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Hope this helps :)

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3 years ago
You have $18 to buy peppers. Peppers cost $1.50 each. Write and solve and inequality that represents the number of peppers you c
IrinaVladis [17]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
10. What is the measure of angle C?<br> A. 25°<br> B. 30°<br> C. 60°<br> D. 75°
Reil [10]

Answer:

D

Step-by-step explanation:

x + 5 + 3x + C = 180                All triangles have 180 degrees.

4x + 5 + C = 180

But C must be equal to 3x. Notice the markings on the lets of the triangle.

4x + 5 + 3x = 180

7x + 5 = 180                          Subtract 5 from both sides

7x = 180 - 5

7x = 175

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But angle C = 3x

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8 0
3 years ago
Find:P(large or blue)
siniylev [52]

Answer:

7/10

Step-by-step explanation:

Total number = 17+3+8+12 = 40

The ones that are large are 17 and 8

The ones that are blue are 17 and 3

Do not count the 17 twice

P(large or blue) = (17+3+8)/40

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3 years ago
I need some help with this calculus 1 question.
Cerrena [4.2K]

Answer:

(a) f'(1)=-4

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Step-by-step explanation:

<u>Tangent Line of a Function</u>

Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.

We are given

y=x-x^5

The derivative is

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(a) The slope of the tangent line at (1,0) is

f'(1)=1-5\cdot 1^4=-4

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(b) The equation of the tangent line can be found with the general formula of the line:

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Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus

y-0=-4(x-1)

Or, equivalently

y+4x-4=0

3 0
3 years ago
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