What is the value of x in this triangle?

vesna_86 [32]

∠1 is an angle formed by the two lines PF and YF at point F

We can also call this angle as ∠PFY because it indicates the point F in the middle where the angle is formed

We can call this angle as ∠YFP because it also indicates the point F in the middle where the angle is formed

we can also call this angle ∠F since F is the point where the angle is formed.

Correct answer: ∠PFY, ∠YFP, ∠F

4 0

3 years ago

Complete the table of values

Agata [3.3K]

Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify!

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, $3^{-2} =
\frac{1}{3^{2} }$ .
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, $(\frac{3}{4}) ^{3} = \frac{ 3^{3} }{4^{3} }$ .
3) The zero exponent rule says that any number raised to zero is 1. For example, $3^{0} = 1$ .


Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is $y = 4^{-x}$ . The x-values are:
1) x = 0
Plug this into $y = 4^{-x}$ to find letter a:
$y = 4^{-x}\\
y = 4^{-0}\\
y = 4^{0}\\
y = 1$

2) x = 2
Plug this into $y = 4^{-x}$ to find letter b:
$y = 4^{-x}\\ 
y = 4^{-2}\\ 
y = \frac{1}{4^{2}} \\ 
y= \frac{1}{16}$

3) x = 4
Plug this into $y = 4^{-x}$ to find letter c:
$y = 4^{-x}\\ 
y = 4^{-4}\\ 
y = \frac{1}{4^{4}} \\ 
y= \frac{1}{256}$


Problem 2
The x-values are in the left column. The title of the right column tells you that the function is $y = (\frac{2}{3})^x$ . The x-values are:
1) x = 0
Plug this into $y = (\frac{2}{3})^x$ to find letter d:
$y = (\frac{2}{3})^x\\
y = (\frac{2}{3})^0\\
y = 1$

2) x = 2
Plug this into $y = (\frac{2}{3})^x$ to find letter e:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^2\\ y = \frac{2^2}{3^2}\\
y = \frac{4}{9}$

3) x = 4
Plug this into $y = (\frac{2}{3})^x$ to find letter f:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^4\\ y = \frac{2^4}{3^4}\\ y = \frac{16}{81}$

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Answers:
a = 1
b = $\frac{1}{16}$ 
c = $\frac{1}{256}$
d = 1
e = $\frac{4}{9}$
f = $\frac{16}{81}$

5 0

3 years ago

A politician is interested in the proportion of voters in his district that think he is doing a good job. Define the following i

valina [46]

The sample is all voters in the district that think he’s doing a good job

3 0

3 years ago

100 POINTS FOR WHO EVER SHOWS THE WORKS AND ANSWERS CORRECTLY. LEGIT 4 QUETIONS BUT MUST SHOW WORK!!

lianna [129]

Step-by-step explanation:

Hey there!

1.》 Let the unknown angle be 'x'.

Now,

x+ 29° + 105° = 180° [ Sum of interior angle of a triangle is 180°]

x = 180° - 134°

x = 46°

Therefore the missingangle is 46°.

2.》Angle 1 = 78° + 55° [ Exterior angleis equal to the measure of adjacent interior angle]

angle 1 = 133°

Therefore the measure of angle 1 is 133°.

3.》Angle 2 + 55° + 78°= 180° [ Sum of interior angle of a triangle is 180°]

angle 2 = 180° - 133°

angle 2 = 47°

Therefore the measure of angle 2 is 47°.

4.》It's is obvious that the measure of exterior angle is equal to opposite adjacent interior angle of a triangle.

See in picture;;; for more description for no.4.

Hope it helps...

8 0

3 years ago

Please help will give brainly

OLEGan [10]

Answer: C (x, y) ➔ (0.375x, 0.375y)

6 0

3 years ago

Read 2 more answers