Let,
the bigger number be "x"
the smaller number be "y"
Now, according to the question,
x + y = 24...........equation (1).............because the sum of numbers is 24
x - y = 15 .............equation (2)..................because their difference is 15
Taking equation (2),
x - y = 15
x = 15 + y ....................equation (3)
Now, Taking equation (1)
x + y = 24
(Substituting the value of "x" form equation (3) we get)
15 + y + y = 24
(Subtracting 15 on both sides, we get)
y + y = 24 - 15
2y = 9
y = 9 / 2
y = 4.5
Now,
Taking equation (3)
x = 15 + y
(Substituting the value of y , we get)
x = 15 + 4.5
x = 19.5
So, the two numbers are 19.5 and 4.5
Answer:
m<PXQ Is Acute
m<QXN is Obtuse
Step-by-step explanation:
Acute Angles are lsss than 90⁰
Obtuse Angles are greater than 90⁰
Right angles are exactly 90⁰
Answer:
50 feet long
Step-by-step explanation:
Use the Pythagorean theorem to find the value of the missing side. The pythagoreon theorem only works with right triangles such as this one.
a²+b²=c²
Where a and b are length of legs (sides) of a triangle. And c is the length of the hypotenuse. The hypotenuse is the side across from the right angle.
We know by looking at the image posted in the question, that one leg of the triangle is 14 feet. And another leg is 48 feet. (Length of picnic area) (length of campground)
14²+48²=c²
Simplify
196+2304=2500
Find square root of 2500
√(2500)=50
So 14²+48²=50²
The missing side is 50 feet long. The fence is 50 feet long.
Attached is another example.
Answer:
For the one including 4w the answer is - 7
The one with n/2 is - 12
Step-by-step explanation:
4w=-13-15
4w=-28
w=-7
Multiply by 2 on both sides
-24=n-12
-24+12=n
Always write it in the variables perspective.
n=-12
Answer:
The answer is y=24
Step-by-step explanation:
The <u>triangle is a 30-60-90 triangle</u>, which means that the it follows the <em>respective ratio of x:x</em>
<em>:2x. </em>Since we know that the 30 degree value is 8
, we can establish that the 60 degree value is 8
*
= 24.