Angle QRT is an exterior angle to the triangle. The rule is that the exterior angle of a triangle is equal to the sum of its remote interior angles. Those remote interior angles are angle RTS and angle TSR. So our equation is
. We can remove the parenthesis and simplify by combining like terms to get 9x = 5x + 9 + x and 9x = 6x + 9 and 3x = 9. That means that x = 3.
Answer:
The answer is 5:12
Step-by-step explanation:
It is 5:12 because We already know that 7 pens are blue. To find the number of red pens we must subtract 12 - 7 and get 5 as the number of red pens. Now knowing the no. of red pens and total number we can say the ratio of red pens to total no. is 5:12
Answer:
The cost of 5 jumpers will be £ 58.40 (one more can be taken for free), the cost of 4 T shirts will be £ 9.60, and the total cost of the purchase will be £ 68.
Step-by-step explanation:
Since a clothes shop has some special offers, for which T-shirts are buy one get one free and jumpers are 3 for 2, and the normal price of a T-shirt is £ 4.80 and the normal price of a jumper is £ 14.60, to determine how much does it cost to get 5 jumpers and 4 T-shirts using this offer as appropriate, the following calculation must be performed:
4 T shirts = 2 + 2
4.80 x 2 = 9.60
5 jumpers = 2 (+1) + 2
4 x 14.60 = 58.40
Therefore, the cost of 5 jumpers will be £ 58.40 (one more can be taken for free), the cost of 4 T shirts will be £ 9.60, and the total cost of the purchase will be £ 68.
Answer:
35
Step-by-step explanation:
Given f(x) = x⁴ – 3x³ + x – 3. What is Limit of f (x) as x approaches negative 2?
=> f(-2) = (-2)⁴-3(-2)³+(-2)-3
= 16+24-2-3
= 35
Answer: Your answer is c
Step-by-step explanation: The first thing you can do is add the two equations together to cancel out x
5x-2y=3
-5x+4y=9
added them together will get us 2y=12, from here divide 2 and get y=6
Plug 6 into the first equation and solve for x.
5x-2(6)=3
5x-12=3, add 13 to the other side
5x=15, divide 5 and get the answer
x=3
