Answer:
x = 10, y = 13
Step-by-step explanation:
Because EYD is 70, then FEY is also 70. Both triangles are identical.
This means:
45 + 70 + 7x - 5 = 180
7x = 70
x = 10
EFY and EDY are identical and this means:
7x - 5 = 5y
7*10 - 5 = 5y
5y = 65
y = 13
Try breaking these into sections.
Twice: 2 times
The sum of: add
A number: choose a variable, like x
---Thus "the sum of a number and 4" becomes "add x and 4" which, mathematically, is "x+4"
-----Continuing to put it all together, "Twice the sum of a number and four" becomes "2 times (x+4)" which, mathematically, is "2(x+4)"
Is: equals
-------"Twice the sum of a number and four is" becomes "2(x+4)="
23 less than: subtract 23. This one tends to trick people; "23 less than" will become "__ - 23", NOT "23 - __"
three times the number: 3 times x
---"23 less than three times the number" becomes "subtract 23 from 3 times x" which, mathematically, is "3x-23"
-------So the final phrase: 2(x+4)=3x-23"
<h2>
Answer with explanation:</h2>
1)
The vertices of X,Y and Z are:
X(-2, 0), Y(-2, -1), and Z(-5, -2)
Now, when X,Y and Z are translated by using the translation transformation:
(x,y) → (x+6,y-2)
Then we obtain the transformation:
X(-2, 0) → X′(4, -2)
Y(-2, -1) → Y′(4, -3)
Z(-5, -2) → Z′(1, -4)
The type of transformation that triangle XYZ undergoes is a translation transformation by the rule: (x,y) → (x+6,y-2)
2)
Next when we reflect the triangle X'Y'Z' across the x-axis then we obtain X"Y"Z"
Since, the rule that follow on reflecting across x-axis is:
(x,y) → (x,-y)
Hence, we get:
X′(4, -2) → X″(4, 2)
Y′(4, -3) → Y″(4, 3)
Z′(1, -4) → Z″(1, 4)
Hence, the type of transformation that triangle X′Y′Z′ undergoes is a reflection transformation (on reflecting across x-axis)
yes it is geometric......
Hello,
Let's assume the last digit given by the function last(x).
last(7^0)=1
last(7)=7
last(7^2)=last(49)=9
last(7^3)=last(last(7^2)*7)=last(9*7)=last(63)=3
last(7^4)=1
If the exponent n is 0,4,8,12,.... a multiple of 4 last(7^n)=1
If the exponent n is 1,5,9,13,.... a multiple of 4 + 1 last(7^n)=7
If the exponent n is 2,6,10,14,.... a multiple of 4 + 2 last(7^n)=9
If the exponent n is 3,7,11,15,.... a multiple of 4 + 3 last(7^n)=37
Here exponent is 282=70*4+2
last(7^282)=9
