Answer: The perimeter of the largest triangle = 117 units.
Step-by-step explanation:
Sides of smaller triangle = 10,20 and 15 units
Longest side = 20 units
Longest side of larger triangle = 52 units
Sides of two similar triangles are proportional.
Let k be proportionality constant.


Length of other two sides,

So sides of larger triangle = 52 units, 26 units , 39 units
Perimeter of largest triangle = 52 +26+39 = 117 units
Hence, the perimeter of the largest triangle = 117 units.
Answer:
$20.00
Step-by-step explanation:
t represents the total amount
0.25t = 5.00
Can you solve for t and answer?
Or logically
Peter's $5.00 is 1/4 (25%) of the total.
Therefore 4/4 is $20.00
<h2>
The required "option B) 60°" is correct.</h2>
Step-by-step explanation:
In question figure,
∠ YUV = 40°, ∠ XUY = 105° and ∠WUX = 155°
To find, the value of ∠ VUW = ?
We know that,
The circle having 360°
∴ ∠ VUW + ∠ YUV + ∠ XUY + ∠WUX = 360°
⇒ ∠ VUW + 40° + 105°+ 155° = 360°
⇒ ∠ VUW + 300° = 360°
⇒ ∠ VUW = 360° - 300°
⇒ ∠ VUW = 60°
∴ The value of ∠ VUW = 60°
Hence, the required "option B) 60°" is correct.
For the first 3 you just have to divide (forget about the square root for now) and then reduce its result by finding two numbers (one of them have to be able to be squared rotted) that multiplied gives the fist result. Then you just have to square root one of the numbers and leave the other one as it is.
For the last 4; you cannot have radicals in the denominator, so you have to multiply both top and bottom by the square root, after that you just reduce.
Hope you understand, if you have any questions please let me know.
3x+12=5x-21
-5x -5x
-2x + 12 = -21
-12 -12
-2x=-33
x = 16.5