Angle DEF measures 75°. What is the measure of angle CFD? 105° 125° 150° 165°

Cat face x+4/5=45 sa il aflu pe x

love history [14]

Given:

The equation is

$x+\dfrac{4}{5}=45$

To find:

The value of x.

Solution:

We have,

$x+\dfrac{4}{5}=45$

Isolating the variable, we get

$x=45-\dfrac{4}{5}$

$x=\dfrac{225-4}{5}$

$x=\dfrac{221}{5}$

$x=44.2$

Therefore, the value of x is 44.2.

6 0

3 years ago

An item is regularly priced at$90. Henry bought it on sale for 70% off the regular price. How much did Henry pay?

Neko [114]

70 times .9 is 63 so 90 minus 63 is27 so it was $27

3 0

3 years ago

Read 2 more answers

Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl

ser-zykov [4K]

Answer:

2744 pennies.

Step-by-step explanation:

Let x represent the number of pennies Al have initially.

We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be $\frac{3}{7}x$ .

We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be $\frac{3}{7}x\cdot \frac{3}{7}=\frac{9}{49}x$ .

Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be $\frac{9}{49}x\cdot \frac{3}{7}=\frac{27}{343}x$ .

We are also told that Dani received 216 pennies. Now, we will equate 216 to $\frac{27}{343}x$ and solve for x as shown below:

$\frac{27x}{343}=216$

$\frac{27x}{343}*343=216*343$

$27x=74088$

$\frac{27x}{27}=\frac{74088}{27}$

$x=2744$

Therefore, Al have 2744 pennies initially.

3 0

3 years ago

Estimate the area under the curve f(x) = x2 + 1 from x = 0 to x = 6 by using three circumscribed (over the curve) rectangles. An

BaLLatris [955]

1) split the range in three identical invervals of size [6 - 0] / 3 = 2

2) form three rectangles

2a) First rectangle: base 2, height f(2) = 2^2 + 1 = 5

   area 1 = base * height = 2 * 5 = 10

2b) second rectangle: base 2, height f(2+2) = 4^2 + 1 = 17

   area 2 = 2 * 17 = 34

2c) third rectangle: base 2 height f(4+2) = 6^2 + 1 = 37

   area 3 = 2*37 = 74

3) total area = area 1 + area 2 + area 3 = 10 + 34 + 74 = 118

3 0

3 years ago

A _______ variable is a variable that has a single numerical value, determined by chance, for each outcome of a procedure. A

Oxana [17]

Answer:

random variable

Step-by-step explanation:

Random variable also known as stochastic variables are variables that are used in statistics and probability, The value of a random variable must be determined by chance which remain uncertain and depends on the outcome of a random process or experiment.

Unlike algebra, when random variable is introduced into a mathematical model, it is represented by capital letter and it has a single numerical value.

6 0

3 years ago