we know that
Perimeter of a triangle is equal to
P=a+b+c
where
a,b and c are the length sides of the triangle
<u>Find the perimeter of the triangles</u>
<u>Triangle N 1</u>
P=(x-2)+(x)+(3x+1)-------> P=5x-1
<u>Triangle N 2</u>
P=(2x-5)+(x+4)+(6x-7)------> P=9x-8
equate the perimeters
5x-1=9x-8--------> 9x-5x=-1+8-------> 4x=7
x=7/4------> x=1.75
therefore
the answer is
x=1.75
Total number of possible outcomes of throwing two dice = 6×6 = 36
Number of outcomes of getting 9 i.e, (3+6),(4+5),(5+4),(6+3) = 4

Answer:
$1,448.66
Step-by-step explanation:
The future value of an annuity with yearly deposits 'P' at an interest rate of 'r' invested for 'n' years is determined by:
![FV = P[\frac{(1+r)^n-1}{r}]](https://tex.z-dn.net/?f=FV%20%3D%20P%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%5D)
For P = $100, r = 0.08 and n = 10 years:
![FV = 100[\frac{(1+0.08)^{10}-1}{0.08}]\\FV=\$1,448.66](https://tex.z-dn.net/?f=FV%20%3D%20100%5B%5Cfrac%7B%281%2B0.08%29%5E%7B10%7D-1%7D%7B0.08%7D%5D%5C%5CFV%3D%5C%241%2C448.66)
The amount at the end of the ten years is $1,448.66
Answer:
A
Step-by-step explanation:
The opposite of a number is simply the number multiplied by -1 so the opposite of n is -n. "Between -3 and 0" tells us that the inequality is -3 < -n < 0.
Answer:
RT-ST=QS-ST, because subtracting the same quantity from two lines that have been stated to be equal.
Therefore RS=TQ
Angle R=Angle Q, because it is an isosceles triangle
Triangle AR
S is congruent to ATQ.
AT=AS
Because TAS is isosceles, angles 5 and 6 are equal.
Therefore, angles 4 and 7 are equal, because they are supplementary angles of the same angle.
And angles 1 and 3 are equal, because the other two angles in the triangle are equal.
The triangles RAT and QAS are congruent with SAS.
Step-by-step explanation: Can u gimme brain plz!