All categories

1 year ago

What is the measure of j

Mathematics

2 answers:

siniylev [52]1 year ago

6 0

J=54
For future problems like this, when you have a triangle just remember that all three angles equal 180. In this problem you have vertical angles.

Effectus [21]1 year ago

5 0

Your answer is j= 54. J + 86 + 40 = 180

You might be interested in

Which statement could describe the returns from a bond? A. You can buy at less than face value and get the full value on maturit

netineya [11]

Bond returns refers to the amount of loss or gain that is received from a bond investment. The calculation of the return on a given bond normally includes the purchase price plus any interest income earned from the bond purchase.

3 0

1 year ago

Read 2 more answers

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:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^4\\ y = \frac{2^4}{3^4}\\ y = \frac{16}{81}$

-------

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

5 0

1 year ago

Mary bought a paid of jeans and a sweater.The pair of jeans costs $30 and the sweater costs $35 .If sales tax is 6% ,how much di

ella [17]

$30 + $35 = $65

Assuming tax is on whole sale not each item:
$65 * 0.06 (6%) = $3.90 (6% of $65)

$65 + $3.90 = $68.90 ($65 + 6%)

OR

You could combine both of these steps and just use this working:
$65 * 1.06 (106%) = $68.90 (106% of $65)

4 0

2 years ago

What did the policeman shout to the math professor as a mob of excited calculus students crowded around these displays on his gr

sladkih [1.3K]

I don't know, what did the policeman shout to the math professor as a mob of excited calculus students crowded around these displays on his graphing calculator?

4 0

1 year ago

A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area (4072-01-01-03-00_files/i0260000

Masja [62]

A = L * W
A = 357
W = 17

357 = 17L
357 / 17 = L
21 = L <== length is 21 inches

8 0

1 year ago

Read 2 more answers