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Lady_Fox [76]
3 years ago
8

Please help meeeeeeeFind the value of x in the diagram. Explain how you found the answer.​

Mathematics
2 answers:
steposvetlana [31]3 years ago
8 0

Answer:

x = 65

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180° for third angle

third angle = 180° - (60 + 55)° = 180° - 115° = 65°

65° and x are vertical angles and are congruent, thus

x = 65

mestny [16]3 years ago
6 0

Answer:

x = 65 degrees

Step-by-step explanation:

Three angles are marked with their values:  55 and  60 degrees.  Thus, the third interior angle of the left triangle (unmarked) is 180 degrees - (115) degrees = 65 degrees.

This 65 degree angle and x are vertical angles.  Thus, x = 65 degrees.  This plus y form a straight angle, so y = 180 degrees - 65 degrees = 115 degrees.

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Help. I need help with these questions ( see image).<br> Please show workings.
Andrew [12]

9514 1404 393

Answer:

  4)  6x

  5)  2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

  \text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the <em>power rule</em>.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

  lim[h→0](f(x+h)-f(x))/h = 2ax +b

__

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

__

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

3 0
2 years ago
For the rectangular prism shown, answer the following questions. Write your number
rewona [7]
The area is 20
The height is 5
The volume is 60
The surface area is 94
6 0
2 years ago
Pls help(ill mark brainlest)
gavmur [86]

Answer:

i think c

Step-by-step explanation:

7 0
2 years ago
HELP ON 6,7,8 QUICK ASAP
nirvana33 [79]

Answer:

113   23   67

Step-by-step explanation:

look at the angles and arcs

7 0
2 years ago
Solve using substitution x = 3y + 1 2x + 4y = 12​
Free_Kalibri [48]

Answer:

x = 4

y = 1

Step-by-step explanation:

x = 3y + 1 (Multiply everything by -2)

2x + 4y = 12​ (Transfer 4y to the right of the = sign)

2x = -4y + 12

-2x = -6y - 2

0 = -10y + 10

-10 = -10y

y = 1

x = 3y + 1

x = 3(1) + 1

x = 3 + 1

x = 4

4 0
3 years ago
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