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lora16 [44]
3 years ago
11

If the lines a and b in the diagram below are parallelm why do angles 2 and 6 measure 60 degree angles

Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0
Angles 2 and 6 are corresponding angles, which would explain why they are congruent if lines a and b are parallel, but there is nothing in the problem to explain that any of the angles equals 60 degrees since no measurements were given in the diagram.
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What is the simplified expression for
Nadusha1986 [10]
Exact form : 4/3
decimal form : 1.3
3 0
3 years ago
Read 2 more answers
In the diagram below, ΔABC is inscribed in circle P. The distances from the center of circle P to each side of the triangle are
4vir4ik [10]
Supposing the sides with 6 and 8 is a right angle, you can create a new line from C and P, and find the length using the equation of a²+b²=c² or 6²+8²=c², with c equaling the radius of the circle.

After finding c, you will have to find the length from C to the midpoint of AC, using the same equation a²+b²=c². If both the lengths of C to the midpoint of AC, and A to the midpoint of AC are equal, you can do b+b to find the length of AC.

Using the same approach, you can find AB. Hope this makes sense, if not, I can clarify more.
5 0
3 years ago
The function f is linear. If f(2) = 2 and f(-6)=6 find f(6)
lina2011 [118]
The\ slope-intercept\ form:y=mx+b\\\\f(2)=2\to for\ x=2\to y=2\\f(-6)=6\to for x=-6\to y=6\\\\put\ in\ equation\ of\ the\ line:\\\\  -\left\{\begin{array}{ccc}2=2m+b\\6=-6m+b\end{array}\right\ \ \ |subtract\ sides\ of\ the\ equations\\----------\\.\ \ \ -4=8m\ \ \ \ \ |divide\ both\ sides\ by\ 8\\.\ \ \ \ \boxed{m=-\frac{1}{2}}\\\\put\ m=-\frac{1}{2}\ to\ equation\ 2=2m+b:\\\\2=2\cdot(-\frac{1}{2})+b\\2=-1+b\ \ \ \ |add\ 1\ to\ both\ sides\\\boxed{b=3}\\\\\boxed{\boxed{y=-\frac{1}{2}x+3}}

therefore:f(x)=-\frac{1}{2}x+3\Rightarrow f(6)=-\frac{1}{2}\cdot6+3=-3+3=0\\\\Answer:\boxed{f(6)=0}
5 0
3 years ago
Solve the equations using the substitution method:<br> 4x -2y =22<br> 2x + 4y = 6
Ugo [173]
We have that
<span>4x -2y =22------> clear variable y
2y=4x-22--------> y=4x/2-22/2---------> y=2x-11-----> equation 1
2x + 4y = 6------> equation 2

substitute equation 1 in equation 2
2x+4*[2x-11]=6-----> 2x+8x-44=6----> 10x=50------> x=5
then 
y=2x-11----> y=2*5-11----> y=-1


</span>
4 0
3 years ago
I NEED HELP PLEASE! :)<br> thanks!
BigorU [14]

Add all the chips to find the total amount.

7 + 9 + 3 + 6 = 25 chips

Since there are 6 blue chips (6/25), that's the probability of just getting once.

When you pick a blue chip and it doesn't get replaced, then that means there is one fewer blue chip and one fewer from the total amount.

5/24

Multiply both probabilities.

6/25 * 5/24 = 30/600

Simplify.

30/600 → 1/20

Therefore, the answer is B

Best of Luck!

7 0
3 years ago
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