Answer:
No.
Step-by-step explanation:
The triangle inequality theorem states that the sum of two sides of a triangle must be greater than the third side.
5 + 8 = 13.
13, which is the sum of two sides, is not larger than 16, the third side.
Therefore, a triangle cannot have these side lengths.
Answer:
x-intercept: 4
y-intercept: 2
Step-by-step explanation:
finding the x-intercept:
first, substitute y = 0.
2x + 4 x 0 = 8
then, remove the 0.
2x + 0 = 8
then, divide both sides. 2x = 8
so, x = 4.
finding the y-intercept:
first, substitute x = 0.
then, solve.
2 x 0 + 4y = 8
so, y = 2.
$9 a day for 8 days.
So, for every day that went by they earned $9. In other words the answer is the Amount of Money Earned per day multiplied by the number of days!
So!
$9 * 8days
Or you can also think of it as this:
9+9+9+9+9+9+9+9
Our answer comes out to be 72!
Answer:
The Value of
.
Step-by-step explanation:
We have Named the figure please find the attachment for your reference.
Given:
PR = y
QR = a
RS = b
PS = z
PQ = x
QS = 15
∠P = 90°
∠R = 90°
∠Q = 60°
∠S = 30°
We need to find the Value of 'a'.
Solution:
Now we know that:
In Δ PQS
∠P = 90°
∠S = 30°
Now we know that;


Substituting the given values we get;

Now we know that;

So we can say that;

Now In Triangle PQR.
∠R = 90°
∠Q = 60°
So we can say that;


Substituting the given values we get;

Now we know that;


So substituting the values we get;

By Using Cross Multiplication we get;

Hence The Value of
.
Answer:
x > 2/3
Step-by-step explanation:
-4(3x - 5) < 2(3x + 4)
Divide both sides by 2.
-2(3x - 5) < 3x + 4
Distribute on the left side.
-6x + 10 < 3x + 4
Subtract 3x from both sides.
-9x + 10 < 4
Subtract 10 from both sides.
-9x < - 6
Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.
x > (-6)/(-9)
x > 6/9
x > 2/3