Answer:
The hight length : h
The base length : a
Apply the Pythagorean theorem in the right triangle :
h² = 13² - (10/2) = 144
h = √144 = 12 cm
S = (a x h)/ 2 = ( 10 x 12 )/2 = 60 cm²
Step-by-step explanation:
Answer:
It will be the graph of two lines intersecting at two comma three with text on graph that reads One Solution 2, 3.
Step-by-step explanation:
The system of equations are
y - 2x = - 1 ............ (1) and
2y - x = 4 ........... (2)
Now, solving equations (1) and (2) we get,
2(2x - 1) - x = 4
{Substituting the value of y from equation (1) to equation (2)}
⇒ 4x - 2 - x = 4
⇒ 3x = 6
⇒ x = 2
Hence, from equation (1) we get,
y = 2x - 1 = 2(2) - 1 = 3
Therefore, the solution is (2,3).
So, it will be the graph of two lines intersecting at two comma three with text on the graph that reads One Solution 2, 3. (Answer)
The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.
Step-by-step explanation:
The given is,
In ΔWXY, ∠Y=90°
XW = 53
YX = 28
WY = 45
Step:1
Ref the attachment,
Given triangle XWY is right angled triangle.
Trigonometric ratio's,
∅ 
For the given attachment, the trigonometric ratio becomes,
∅ 
.....................................(1)
Let, ∠X = ∅
Where, XY = 28
XW = 53
Equation (1) becomes,
∅ 
∅ = 0.5283
∅ = 
(0.5283)
∅ = 58.109°
Result:
The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.
The answer is x = 12/7
because you multiply 15 by x to get 15x
15x = 4(2x+3)
next you simplify the right side by using the distributive property by doing 15x = 4(2x) + 4(3)
Then you multiply 2 by 4 to get 8
15x = 8x + 4(3)
and multiply 4 by 3 to get 12
15x = 8x + 12
Now you move terms containing (x) to the left side of the equation.
Since 8x contains the variable to solve for, move it to the left side of the equation by subtracting 8x from both sides.
15x - 8x = 12
subtract 8x from 15x to get 7x
7x = 12
Also , divide each term by 7 and simplify
Divide each term in 7x = 12 by 7
7x/7 = 12/7
Lastly , reduce the expression by cancelling the common factors by
crossing out all 7s 7x/7 and leave 12/7 as it is, and divide x by 1 to get x by
x = 12/7
So the answer is x = 12/7
Its 100 because its not rounded to the nearest whole like 200 because its less than 50 so it would round down
