Explain how to find a measure of angle ACD without repositioning the protractor

Mathematics

1 answer:

MatroZZZ [7]3 years ago

6 0

Answer:

60 degrees

Step-by-step explanation:

ACD and ACB are complementary angles. Find ACB=30 degrees. Subtract 30 from 90 degrees. ACD=60 degrees.

You might be interested in

HELPPPPPP

dimaraw [331]

32, i believe is the answer

5 0

3 years ago

Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

6 0

1 year ago

1 2 TIME REMAIN 50:24 How could Theo check his work? Check all that apply. Theo solved n + 5 = 11 for the unknown. The steps he

elena-14-01-66 [18.8K]

Answer:

so first you do the work than check

Step-by-step explanation:

3 0

3 years ago

If the sum of a number and seven is doubled, the result is one less than the number. find the number

lawyer [7]

(n + 7)2 = n - 1
2n +14 = n - 1
2n - n +14 = n - n - 1
n + 14 -14 = -1 - 14
n = -15
(-15 + 7)2 = -15 - 1
(-8)2 = -16
-16 = -16

7 0

3 years ago

Question 8: Find the equation of the straight line that:

Scorpion4ik [409]

Answer:

$y=4x+6$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)