Answer:
8
Step-by-step explanation:
we can say that AD is congruent to DC
so your equation for x is: 4x - 1 = 2x
solve this to get x = 0.5
plug x into and equation and multiply you answer by 2 to find the hypotenuse of triangle ABC and DEF
4(0.5) - 1 = 1
hypotenuse: 1 x 2 = 2
since we know x is 0.5, plug this into 4x + 1 to find the length of the leg FE,
4(0.5) + 1 = 3
In the diagram, it shows that the legs of triangle are congruent
this means that FE, ED, BA, and BC are all congruent
since we know FE is 3, we know that all the other sides are 3 as well
this means that the perimeter of the triangle is: leg + leg + hypotenuse
so 3 + 3 + 2
the perimeter is 8
Sam would have 41 pence change
Answer:
15.98
Step-by-step explanation:
∑₁¹⁰ 
![=8[1+\frac{1}{4} +\frac{1}{16} + ........ +t_{10}]](https://tex.z-dn.net/?f=%3D8%5B1%2B%5Cfrac%7B1%7D%7B4%7D%20%2B%5Cfrac%7B1%7D%7B16%7D%20%2B%20........%20%2Bt_%7B10%7D%5D)
We have to use the formula of sum of a G.P. series with common ratio r < 1.
If the first term is a, the common ratio is r and the number of terms is n then the sum [a + ar + ar² + ar³ + ......... up to n terms] is given by
![[a \times\frac{1-r^{n} }{1-r}]](https://tex.z-dn.net/?f=%5Ba%20%5Ctimes%5Cfrac%7B1-r%5E%7Bn%7D%20%7D%7B1-r%7D%5D)
![= 8[1 \times \frac{1-\frac{1}{2^{10} } }{1-\frac{1}{2} } ]](https://tex.z-dn.net/?f=%3D%208%5B1%20%5Ctimes%20%5Cfrac%7B1-%5Cfrac%7B1%7D%7B2%5E%7B10%7D%20%7D%20%7D%7B1-%5Cfrac%7B1%7D%7B2%7D%20%7D%20%5D)
(Answer)
Answer:
<h3><em>
(12, -6)</em></h3>
Step-by-step explanation:
The formula for calculating the midpoint of two coordinates is expressed as shown;
M(X, Y) = [(x1+x2)/2, (y1+y2)/2]
Given the midpoint of ST to be ((6, -2) and one endpoint T is (0,2), according to expression above;
X = (x1+x2)/2
Y = (y1+y2)/2
From the coordinates, X = 6, Y = -2, x1 = 0 and y1 = 2, to get x2 and y2;
X = (x1+x2)/2
6 = (0+x2)/2
cross multiply
12 = 0+x2
x2 = 12-0
x2 = 12
For 2;
Y = (y1+y2)/2
-2 = (2+y2)/2
cross multiply
-4 = 2+y2
y2 = -4-2
y2 = -6
<em>Hence the other endpoint S(x2, y2) is (12, -6)</em>
<em></em>
Answer:
<u>89.4</u>
Step-by-step explanation:
Okay well if 149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4
149*0.60=89.6
