Answer:
∠ XZY ≈ 23.6°
Step-by-step explanation:
Using the sine ratio in the right triangle, that is
sinXZY = 
= 
= 
, then
∠ XZY = 
( ) ≈ 23.6° ( to 1 dec. place )
-----------------------------------------------
Information Given:
-----------------------------------------------
ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7
-----------------------------------------------
Since it is a parallelogram:
-----------------------------------------------
ON = LM and
MN = OL
-----------------------------------------------
ON = LM:
-----------------------------------------------
7x - 9 = 6x + 4
-----------------------------------------------
Subtract 6x from both sides:
-----------------------------------------------
x - 9 = 4
-----------------------------------------------
Add 9 to both sides:
-----------------------------------------------
x = 13
-----------------------------------------------
MN = OL:
-----------------------------------------------
x - 7 = 2y - 7
-----------------------------------------------
Sub x = 13:
-----------------------------------------------
13 - 7 = 2y - 7
-----------------------------------------------
Simplify:
-----------------------------------------------
6 = 2y - 7
-----------------------------------------------
Add 7 on both sides:
-----------------------------------------------
13 = 2y
-----------------------------------------------
Divide by 2:
-----------------------------------------------
y = 13/2
-----------------------------------------------
Answer: x = 13, y = 13/2 (Answer D)
-----------------------------------------------
Answer:
126
Step-by-step explanation:
945÷7.5=126
I HOPE IT HELPS!
Answer:
10
Step-by-step explanation:
If the sides of the rectangle is 6cm and 8cm, then we mean that, the length and breadth are 6cm and 8cm
The diagonal which cross at AX will be the hypotenus of the triangle formed by drawing the diagonal.
Hence,
Hypotenus = sqrt (opposite² + adjacent²)
AX = sqrt[(8²) + (6²)]
AX = sqrt(64 + 36)
AX = sqrt(100)
AX = 10
<span>70 thousand is written in short word form, because its written as a combination of numbers and letters.
Standard form would be to write the number easily using multiplication with 10. That woul be:
70000=7*10^4. It;s 10^4 because the decimal point has been 4 laces to the left to get the number to be 7.
Word form can be obtain by writing the number using letters. Long word form is: seventy thousand. But because sevety is written with number (70), this is short word form of the number,</span>
