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salantis [7]
4 years ago
9

Diagram shows an irregular hexagon PQRSTU.Fine the value of X + Y=

Mathematics
1 answer:
Lynna [10]4 years ago
6 0
To find the value of x+y, we will first find the sum of all the interior angles of the hexagon.The sum of the interior angles in a hexagon is always equal to 720 degrees.

All the angles in the diagram are in terms of x or y except for angle t. However, we know that the corresponding exterior angle is 30 degrees. The sum of angle t and 30 is 360. We can solve this in an algebraic equation.

t+30=360
Subtract 30 from both sides
t = 330

Now, we can solve for the values of x+y. We can set this up in another algebraic equation.

x+x+x+2y+y+30=720

Combine like terms:
3x+3y+30 = 720

Subtract 30 from both sides:
3x+3y = 690

Divide both sides by 3:
\frac{3x + 3y}{3} =  \frac{690}{3}
x+y = 230

The sum of x and y is 230.
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In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is
FromTheMoon [43]

Answer:

17

Step-by-step explanation:

Look at Triangle ABC, The rays meet at line BC and they are both from the interior point A. So this means that AB=AC. This makes ABC a isosceles triangle. Using the isosceles triangle theorem, Angle B and Angle C measure is equal to each other so

50 + x + x = 180

50 + 2x = 180

2x = 130

x = 65

This means angle b and C of the triangle ABC measure is 65.

External bisector bisect a figure that it makes the original angle split into half that they are equal to each other.

This means the angle below Angle B and angle C measure is 32.5. We can find the measure of Angle B and C in triangle BOC. This is a isosceles triangle as well so

32.5 + 65 + x = 180

98.5 + x = 180

x = 81.5

Angle C is 81.5 as well so

81.5 + 81.5 = 163

Find angle o

180 - 163 = 17

6 0
3 years ago
I'm confused, can someone help me?
iragen [17]

\bf \begin{array}{rll} \stackrel{standard}{notation}&\stackrel{scientific}{notation}\\ \cline{1-2} 7000&7\times 10^3\\ 700&7\times 10^2\\ 70&7\times 10^1\\\\ \boxed{7}&\boxed{7\times 10^0}\\\\ 0.7&7\times 10^{-1}\\ 0.07&7\times 10^{-2}\\ 0.007&7\times 10^{-3} \end{array}

recall, for the scientific notation, it has to be using some power of 10, and the exponent of the base 10, is how many slots you're away from the <u>decimal point</u>.  0.007 uses 10⁻³ because 7.0 or 7. when we make it 0.007, we have to move the decimal point from in front of the 7 3 slots over to the left.  Likewise, the 7000 is using 10³, because we moved the dot from 7. to 7000. , namely 3 slots to the right.

the missing value is there in the middle, notice is "7".

well, we can say that 7 is using 10⁰, however most of the time the 10⁰ is omitted and we settle for 7 alone, however scientific notation wise, that'd be it.

3 0
3 years ago
I need help I been stuck on this assignment for 2 weeks because of that question.
mel-nik [20]

Answer:

A. -2\sqrt{2\pi }

Step-by-step explanation:

f(x)=sin(x^{2}+\pi  )

f^{'}(x)=cos(x^{2} +\pi )  2x

f^{'}(\sqrt{2\pi } )=cos(2\pi +\pi )2\sqrt{2\pi }

f^{'} (\sqrt{2\pi } )=-1 (2\sqrt{2\pi } )

4 0
3 years ago
The point P=\left(-\frac{\sqrt{33}}{7},\,\, y\right)P=(− 7 33 ​ ​ ,y) lies on the unit circle shown below. What is the value of
kifflom [539]

Answer:

y = √-1040/7

Step-by-step explanation:

The equation of a unit circle is expressed as;

x²+y² = 1

Given the coordinate of P = (-33/7, y)

Substitute the coordinate into the give expression and find y;

(-33/7)²+y² = 1

Expand

y² = 1-(-33/7)²

According to difference of two square

y² = (1+(-33/7))1-(-33/7))

y² = (1-33/7)(1+33/7)

y² = -26/7(40/7)

y² = -1040/49

y= √-1040/49

y = √-1040/√49

y = √-1040/7

Hence the value of y is y = √-1040/7

4 0
3 years ago
Help need answers quick (unprofessional behavior and wrong answers will get reported)
AleksandrR [38]

Answer:

step 2 is the answer. when you start the question it's already in pemdas order. 48÷6 equals 8 then multiply it by the other 8 then you can add that quotient to the 10 which is 74 then subtract it by 7 and you get 67. step 2 goes the wrong way and ads the 8 with the 10 before multiplying the 8 by the 8 making everything go in wrong turns.

8 0
3 years ago
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