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3 years ago

In triangle bcd if bc =bd angle b = 13x-35 angle c =5x-19 and angled d = 2x+14 find x and the measure of each angle

Mathematics

1 answer:

MakcuM [25]3 years ago

3 0

Answer:

<b = 108 degrees

<c = 36 degrees

<d = 36 degrees

Step-by-step explanation:

The sum of angle in a triangle is 180 degrees

Hence <b + <c + <d = 180

13x-35 + 5x - 19 + 2x + 14 = 180

13x+5x+2x-35-19+14 = 180

20x-40 = 180

20x = 180 + 40

20 x = 220

x = 220/20

x = 11

Get <b

<b = 13x-35

<b = 13(11) - 35

<b = 143-35

<b = 108 degrees

Get <c

c =5x-19

<c = 5(11)-19

<c = 55-19

<c = 36degrees

Get <d

<d = 2x+14

<d = 2(11) + 14

<d = 22+14

<d = 36 degrees

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Answer: She messed up in Step 1

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Explanation:

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3 years ago

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How do u work this out and what's the answer

I am Lyosha [343]

1) you would need to turn both fractions so they have a common denominator, that would be 2 2/4 and 3/4
2) then subtract : 2 2/4 - 3/4, and you would subtract numerators and the whole number, but you keep the denominator the same. However, you cannot subtract 2 and 3 in this case, so you need to change 2 2/4 to 1 5/4 (they are still equivalent)
3) 1 5/4 - 3/4 = 1 2/4, which simplified version is 1 1/2
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3 years ago

-3 ( -4 - 5x) = -18 i'll help with your questions :)))

maria [59]

Answer:

-15

Step-by-step explanation:

-3(-4-5x)= -18

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4 years ago

Which function has the greatest rate of change on the interval from x = 3 pi over 2 to x = 2π?

vodka [1.7K]

The average rate of change for the function f(x) can be calculated from the following equation
$\frac{f( x_{2})-f( x_{1} )}{ x_{2} - x_{1} }$

By applying the last formula on the given equations
(1) the first function f
from the table f(3π/2) = -2   and   f(2π) = 0
∴ The average rate of f = $\frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 \pi - \frac{3 \pi}{2} } = \frac{0-(-2)}{ \frac{\pi}{2} }= \frac{2}{ \frac{\pi}{2} } = \frac{4}{\pi}$

(2) the second function g(x)
from the graph g(3π/2) = -2   and   g(2π) = 0
∴ The average rate of g = $\frac{g(2 \pi)-g( \frac{3 \pi}{2} )}{2 
\pi - \frac{3 \pi}{2} } = \frac{0-(-2)}{ \frac{\pi}{2} }= \frac{2}{ 
\frac{\pi}{2} } = \frac{4}{\pi}$

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
   h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h = $\frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 
\pi - \frac{3 \pi}{2} } = \frac{1-(-5)}{ \frac{\pi}{2} }= \frac{6}{ 
\frac{\pi}{2} } = \frac{12}{\pi}$

By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>

So, the correct answer is option <span>C) h(x)</span>

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3 years ago

Of two consecutive integers, four times the smaller is 30 more than three times the larger. Find both integers,

WITCHER [35]

Answer:

33 and 34

Step-by-step explanation:

Let the integers be x and x+1 respectively.

4x = 3(x+1) + 30

x = 33

therefore, the integers are 33 and 34

This is a question on forming and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

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