Point E is the correct answer! :D

Solution:
Given expression:

<u>Expansion of PEDMAS:
</u>
Parenthesis, Exponents, Division, Multiplication, Addition, Subtraction.
To solve the given expression using pedmas rule.
First solve the expression with parenthesis.

Next do the exponents.

Finally do the addition.

Hence the answer is 80.
Sin 2 x + sin x = 0
( sin 2 x = 2 sin x cos x )
2 sin x cos x + sin x = 0
sin x ( 2 cos x + 1 ) = 0
sin x = 0
x 1 = 0
x 2 = π
or: 2 cos x + 1 = 0
2 cos x = - 1
cos x = -1/2
x 3 = 2π/3
x 4 = 4π/3
<em>Congruent triangles</em> are two or more triangles with the same length of <u>sides</u> and measure of internal <u>angles</u>. Thus the <em>required</em> proof is as shown below:
From the given diagram, it can be <u>observed</u> that:
AB = AC (<em>similar</em> property of two lines)
AC = AE (<u>similar </u>property of two lines)
Also,
m<A is a <u>common</u> angle to ΔABC and ΔADE
So that it can be <em>concluded </em>that;
ΔABC ≅ ΔADE (Side-Angle-Side property)
Thus since ΔABC ≅ ΔADE are <u>congruent</u>, then;
BC = DE (<u>corresponding</u> sides of <em>congruent</em> triangles)
For further clarifications on congruent triangles, visit: brainly.com/question/1619927
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Answer:
a. The number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces.
b. The value of the gold in each necklace is $1761
Step-by-step explanation:
(a) Number of necklaces
2
ounces of gold=2.875
No of necklaces=212.75oz x 1 necklaces/2.875oz
=74 necklaces
(b)Value of gold in each necklace
There are 2.875 oz of 14K gold in each necklace. Pure gold is 24K.
Mass of pure gold=2.875oz x 14k/24k
=1.677083oz
Pure 24K gold is worth $1050/oz.
Value of pure gold=1.677oz x 1050/1oz
= 1760.9 dollars
The value of the gold in each necklace is $1761
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