x. 250
_____ _____
7.30 100
cross multiply
100x = 1825
divide the 100
x = 18.25
Answer:
Step-by-step explanation:
![We\ are\ given:\\TU=SQ\\TP=PQ\\\angle TPU= \angle SPQ [Vertically\ Opposite\ Angles\ Are\ Equal]\\Hence,\\As\ we\ are\ given,\ 2\ sides\ and\ 1\ angle\ of\ each\ triangle\ correspond,\ we\\ could\ use\ the\ SAS\ Congruency Rule.\\But:\\](https://tex.z-dn.net/?f=We%5C%20are%5C%20given%3A%5C%5CTU%3DSQ%5C%5CTP%3DPQ%5C%5C%5Cangle%20TPU%3D%20%5Cangle%20SPQ%20%5BVertically%5C%20Opposite%5C%20Angles%5C%20Are%5C%20Equal%5D%5C%5CHence%2C%5C%5CAs%5C%20we%5C%20are%5C%20given%2C%5C%202%5C%20sides%5C%20and%5C%201%5C%20angle%5C%20of%5C%20each%5C%20triangle%5C%20correspond%2C%5C%20we%5C%5C%20could%5C%20use%5C%20the%5C%20SAS%5C%20Congruency%20Rule.%5C%5CBut%3A%5C%5C)
<em>As SAS Congruency Rule tells us that 'Two triangles are congruent only if two sides and an included angle of one triangle corresponds to two sides and an included angle of the other' .</em>
<em>Here,</em>
<em>As ∠TPU and ∠SPQ are NOT the included angle of ΔTUP and ΔSPQ respectively, the two triangles cannot be proven congruent through SAS Congruency.</em>
<em>Note: We also cannot apply SSA congruency as SSA congruency doesnt exist.</em>
Answer:
7,200
Step-by-step explanation:
Answer:
x = 1/4
y = -1/2
z = 9/4
Step-by-step explanation:
Here we have a system of 3 equations with 3 variables:
4*x + 2*y + 1 = 1
2*x - y = 1
x + 3*y + z = 1
The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:
2*x - y = 1
2*x - 1 = y
Now that we have an expression equivalent to "y", we can replace this in the other two equations:
4*x + 2*(2*x - 1) + 1 = 1
x + 3*(2*x - 1) + z = 1
Now let's simplify these two equations:
8*x - 1 = 1
7*x - 3 + z = 1
Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:
8*x - 1 = 1
8*x = 1 + 1 = 2
x = 2/8 = 1/4
Now that we know the value of x, we can replace this in the other equation to find the value of z.
7*(1/4) -3 + z = 1
7/4 - 3 + z = 1
z = 1 + 3 - 7/4
z = 4 - 7/4
z = 16/4 - 7/4 = 9/4
z = 9/4
Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:
y = 2*(1/4) - 1
y = 2/4 - 1
y = 1/2 - 1
y = -1/2
Then the solution is:
x = 1/4
y = -1/2
z = 9/4
Answer:
0.714 free throws.
Step-by-step explanation:
Anna made 20 out of 28 free throws.
Free-throw average = 
= 0.7142857143 free throws.
This equals 0.714 free throws (answer rounded up to the nearest thousandths)
