Answer:
The jeweler made 11 bracelets and 7 necklaces.
Step-by-step explanation:
Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:
(16 - 6) x 7 = 70
178 - 70 = 108
108/6 = 18
18 - 7 = 11
(11 x 6) + (7 x 16) = X
66 + 112 = X
178 = X
Thus, the jeweler made 11 bracelets and 7 necklaces.
Look at the picture.
The common part does not exist.
Explanation:
First, we need to find the values of the sine and cosine of x knowing the value of tan x and x being in the 3rd quadrant. Since tan x = 5/12, using Pythagorean theorem, we know that
Note that both sine and cosine are negative because x is in the 3rd quadrant.
Recall the addition identities listed below:
Therefore, the expression reduces to
Answer:
option B
Step-by-step explanation:
Given : A parallelogram ABCD
To find : Which graph shows a method for finding the image of point D if the parallelogram is reflected across the dashed line?
Since forming the reflected image follows Every point on the image will be the same distance as its corresponding point from the pre-image.
This distance will be perpendicular to the line of reflection i.e. dashed line
And the second option shows the correct image .
In the second image the perpendicular was draw along the axis of reflection .
Hence the option B is correct .
Answer:
The answer is B.
Step-by-step explanation:
<em>A true proportion is a set of ratios that equal each other.</em>
<em> </em>For example, 1:2=2:4 is a proportion.
As we look through the list, we observe only B equals each other. Imagine 3:4 and 9:12 as a fraction. (¾ and 9/12). If we reduce 9/12, we get ¾. Thus, 3:4 = 9:12:)
I hope this helps!
