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mylen [45]
2 years ago
15

Refer to the figure below. Marla prepares Lumpiang Togue (Mung Bean Sprouts Spring Rolls) for merienda. After frying, she placed

the tongs on top of the frying pan. If the measures of the intercepted arcs are 52° and 92°, what is the measure of ∠ETR? *
a.20°
b.43.5°
c.57°
d.60°​

Mathematics
1 answer:
Katarina [22]2 years ago
6 0

Answer:

  a.  20°

Step-by-step explanation:

The external angle T is half the difference of the intercepted arcs:

  (92° -52°)/2 = 40°/2 = 20°

∠ETR = 20°

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Organisers for a charity event sold 500 tickets. Adult price £3 and children £2. Money received from adult ticket sales is £400
Tatiana [17]

Answer: 280

<u>Step-by-step explanation:</u>

                  Quantity   X    Cost    =  Money Received

Adult:               x                   3                   3x          

Children:       500-x              2            2(500 - x) = 1000 - 2x


Adult = Children + 400

  3x   =  1000 - 2x + 400

  3x   =   1400 - 2x

  5x   =   1400

    x    =    280

7 0
3 years ago
Please explain to me what the Law Of Syllogism is. 100pts... Explain it well please...
3241004551 [841]
The Law Of Syllogism, which is also called Reasoning by Transitivity, is basically if a = b and b = c, then a = c, which is also the transitive property. Hence the alternate name. It can be used for mathematical deductions and is mainly used in the unit of logic statements, such as conditional and inverse statements. Here is an example:
If it is raining today, then I will wear my raincoat.
If I wear my raincoat today, then I will wear my boots.
When we use the Law of Syllogism, we get:
If it is raining today, then I will wear my boots.

Hope this helps and have a nice day!
7 0
3 years ago
Read 2 more answers
A right rectangular prism is shown. The two dimensional net is also shown. Find the surface area of this prism.
Natasha_Volkova [10]

Hey!

------------------------------------------------

Surface Area Formula: 2LW * 2LH * 2WH

------------------------------------------------

2LW:

5 x 1 = 5

5 x 2 = 10

------------------------------------------------

2LH:

4 x 1 = 4

4 x 2 = 8

------------------------------------------------

2WH:

5 x 4 = 20

20 x 2 = 40

------------------------------------------------

Surface Area:

40 + 8 + 10= 58

------------------------------------------------

Answer:

D) 58 cm2

------------------------------------------------

Hope This Helped! Good Luck!

5 0
3 years ago
600 can be written as 2 × b × co
NemiM [27]

Answer:

a = 3, b = 3, c = 5 and d = 2.

Step-by-step explanation:

The prime factorization of 600 is 2^3 * 3 * 5^2

3 0
2 years ago
If f(x)=x2-2x-8 and g(x)=1/4x-1 for which value of x is f(x)=g(x)
fomenos

f(x)=x^2-2x-8;\ g(x)=\dfrac{1}{4}x-1\\\\f(x)=g(x)\iff x^2-2x-8=\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4x^2-8x-32=x-4\qquad\text{subtract x from both sides}\\\\4x^2-9x-32=-4\qquad\text{add 4 to both sides}\\\\4x^2-9x-28=0\\\\4x^2-16x+7x-28=0\\\\4x(x-4)+7(x-4)=0\\\\(x-4)(4x+7)=0\iff x-4=0\ \vee\ 4x+7=0\\\\x=4\ \vee\ 4x=-7\\\\\boxed{x=4\ \vee\ x=-\dfrac{7}{4}}

6 0
3 years ago
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