Answer:
The measure of the angle JKG is:
m∠JKG = 56°
Step-by-step explanation:
<u>Given</u>
m∠JKG = 76-2x
m∠FHK = 6x-4
J is a midpoint of the segment FG and K is a midpoint of the segment GH.
<u>To determine</u>
m∠JKG = ?
Given that J is a midpoint of the segment FG and K is a midpoint of the segment GH. Thus, making two similar triangles, ΔJGK and ΔFGH
We know that two triangles are similar if the only difference is size. So, the angles remain the same.
so m∠JKG and m∠FHK are equal.
i.e.
m∠JKG = m∠FHK
substitute m∠JKG = 76-2x and m∠FHK = 6x-4
76-2x = 6x-4
6x+2x = 76 + 4
8x = 80
divide both sides by 8
8x/8 = 80/8
x = 10
Therefore, the value of x = 10
As
m∠JKG = 76-2x
substitute x = 10
m∠JKG = 76 - 2(10)
= 76 - 20
= 56°
Therefore, measure of the angle JKG is:
m∠JKG = 56°
Answer:
Volume of cuboid = 300 in³
Surface area of cuboid = 280 in²
Step-by-step explanation:
Given:
Length = 10 in
Width = 5 in
Height = 6 in
Find:
Volume of cuboid
Surface area of cuboid
Computation:
Volume of cuboid = [L][B][H]
Volume of cuboid = [10][5][6]
Volume of cuboid = 300 in³
Surface area of cuboid = 2[lb][bh][hl]
Surface area of cuboid = 2[(10)(5) + (5)(6) + (6)(10)]
Surface area of cuboid = 2[50 + 30 + 60]
Surface area of cuboid = 2[140]
Surface area of cuboid = 280 in²
So he started with 3/4 lb and ended up with 2/3 of that so 2/3 of 3/4 'of' can be roughly translated as multiply so 2/3 times 3/4 =6/12=1/2 lb left or you know that there are 3 out of 4 parts pound left so 2 out of 3 parts of nuts is = 2/4 or 1/2 lb
It is the second bubble because there can only be one x per y. For example, (1,3) and (1,4) isn't a function because the x which is 1 has too many y
Given:
And
Required:
To find the two possible values of c.
Explanation:
Consider
So
And also given
Now from (1) and (2), we get
Now put a in (1) we get
We can interpret that either of a or b are equal to 3 or 5.
When a=3 and b=5, we have
When a=5 and b=3, we have
Final Answer:
The option D is correct.
31 and 41
