Answer:
#8 : x=15−y
#9: 
#10: y=2A−x
#7: T=
Step-by-step explanation:
Answer:
that is really so difficult ? what do you not understand here ? please let me know, if you need any further explanations.
you know what the perimeter is ? if it's the circumference, the way around the object. in other words, the distance you have to walk, when going along all sidelines of the object.
so the perimeter is the sum of of all side lengths.
56 = x - 1 + 3x + 3x + 1 = 7x
x = 8
that gives us the side lengths :
x - 1 = 7 cm
3x = 21 cm
3x + 1 = 22 cm
the formula for the area of a triangle
A = baseline × height / 2
the advantage of a right-angled triangle in this regard is that the sides enclosing the 90 degree angle are already "acting" as baseline and the height (standing on the baseline with a 90 degree angle).
so, we can simply say here, the 3x side is the baseline, and the x-1 side is also the height.
therefore,
A = 21×7/2 = 147/2 = 73.5 cm²
Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
Answer:
Step-by-step explanation:
1.From the given triangle, ABC, using the proportionality theorem, we get
⇒
⇒
Thus, the height will be 25 feet.
2.
Statement Reason
1.∠C≅∠E Given
2. ∠ABC≅∠DBE Vertically opposite angles
3. ΔABC is similar to ΔDBE AA similarity rule.
We are given
The equation that models this trip is T= 36x + 60
T represents the total cost for the group to take the trip and
X equals the number of people going
we know that
Domain is all possible values of x for which any function is defined
Since, number of people can neither be negative nor in decimals
so, x can not be negative or in decimals
now, we will check each options
option-A:
x=40
This is positive and whole number
so, this can be domain
so, this is TRUE
option-B:
x=60
This is positive and whole number
so, this can be domain
so, this is TRUE
option-C:
0< x< 40
It also includes decimals numbers
and we know that
x can not be in decimals
so, this is FALSE
option-D:
0< x< 39
It also includes decimals numbers
and we know that
x can not be in decimals
so, this is FALSE
