Answer:
n = 8
Step-by-step explanation:
1/2(n + 4) = 6
1/2 of n + 2 = 6
6 - 2 = 4
4 × 2 = 8
1/2 of 8 + 2 = 6
4 + 2 = 6
n = 8
The area of a rhombus is given by the half the product of its two diagonals.
We can see that AC is composed by two parts measuring 14m, so AC = 28m.
Similarly, BD is composed by two parts long 19m each, so BD = 38m.
Half their product is thus

Answer:
315 chocolate
Step-by-step explanation:
Let Sam's chocolate be S
Let Clariss's chocolate be C
When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam.
This can be written as:
C = 5S
The sum of their chocolate is 504 i.e
S + C = 504
Now, let us determine the chocolate of Clarissa after receiving 105 chocolate from Sam. This can be obtained as follow:
S + C = 504
But: C = 5S
S + 5S = 504
6S = 504
Divide both side by 6
S = 504/6
S = 84.
C = 5S = 5 x 84 = 420
Therefore, Clarissa have 420 chocolate after receiving 105 chocolate from Sam.
Now, to know the amount of chocolate that Clarissa has at first, we simply subtract 105 from the present amount that Clarissa have. This is illustrated below:
Amount of chocolate that Clarissa has a first = 420 – 105 = 315
Therefore, Clarissa had 315 chocolate at first.
Answer:
Step-by-step explanation:
<em>See attached diagram (not to scale). </em>
<em>All given details reflected.</em>
a) <u>Find the measure of XZ using the law of cosines:</u>
- y = √(5² + 3² - 2*5*3*cos 135°) = 7 km (rounded)
b) <u>Now using the law of sines find the measure of angle X:</u>
- 7 / sin 135° = 5 / sin X
- sin X = 5 sin 135° / 7
- m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)
<u>The bearing of Z from X is:</u>