All categories

3 years ago

What is the measure of angle 4?

Mathematics

1 answer:

melisa1 [442]3 years ago

5 0

Answer:

45 degrees

Step-by-step explanation:

∠1 and ∠4 are on a straight line. Therefore, they are supplementary and add to 180 degrees.

∠1+∠4=180

We know that the m∠1 is 135 degrees. We can substitute 135 in for ∠1.

135+∠4=180

Now we have to solve for ∠4. To do this, we need to get ∠4 by itself. 135 is being added on to ∠4. To undo this, subtract 135 from both sides, because subtraction is the opposite of addition.

135-135+∠4=180-135

∠4=180-135

∠4=45

The measure of ∠4 is 45 degrees.

You might be interested in

Gerald earns a base hourly rate of $8 per hour at his job. However, if he works more than 10 hours in a week, he earns $9 per ho

Vika [28.1K]

For 10 hours of job Gerald earns 8*10=80$

For 11 hours Gerald earns 8*10+9n. n - number of working hours over 10 hours.

if Gerald work 16 hours, then he work 6 hours after 10, so n=6

8*10+9*6=80+54=134$

Answer: Gerald earns 134$ if he works 16 hours in one week.

Sorry for my bad English pls:)

8 0

4 years ago

Read 2 more answers

How do you write 6/72 in simplest form

Monica [59]

6*12=72 thus you can reduce the fraction to-

1/12

5 0

3 years ago

Help me pls and dont guess

BARSIC [14]

Answer:

Step-by-step explanation:

3 1/2 times -(4/5)

First multiply 3 1/2 and -(4/5)=2 4/5

6 0

3 years ago

Read 2 more answers

If f(x-3)=x^2-4x+5, what's f(1-x)

olganol [36]

Answer:

$\large\boxed{f(1-x)=x^2-4x+5}$

Step-by-step explanation:

$f(x-3)=x^2-4x+5\\\\f((x-3)+3)\to\text{put x + 3 to the equation of the function:}\\\\f(x-3+3)=(x+3)^2-4(x+3)+5\\\text{use the distributive property and}\ (a+b)^2=a^2+2ab+b^2\\f(x)=x^2+2(x)(3)+3^2+(-4)(x)+(-4)(3)+5\\f(x)=x^2+6x+9-4x-12+5\qquad\text{combine like terms}\\f(x)=x^2+(6x-4x)+(9-12+5)\\f(x)=x^2+2x+2\\\\f(1-x)\to\text{put 1 - x to the equation of the funtion f(x):}\\\\f(1-x)=(1-x)^2+2(1-x)+2\\\text{use the distributive property and}\ (a-b)^2=a^2-2ab+b^2$

$f(1-x)=1^2-2(1)(x)+x^2+(2)(1)+(2)(-x)+2\\f(1-x)=1-2x+x^2+2-2x+2\qquad\text{combine like terms}\\f(1-x)=x^2+(-2x-2x)+(1+2+2)\\f(1-x)=x^2-4x+5$

4 0

3 years ago

X = 22 + 10x<br> How to find x?

GrogVix [38]

Answer:

x = -2.44

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 10x from both sides:

x (-10x) = 22 + 10x (-10x)

x - 10x = 22

-9x = 22

Isolate the variable, x. Divide -9 from both sides:

(-9x)/-9 = (22)/-9

x = 22/-9

x = -(22/9)

x = -2.44 (repeating).

x = -2.44 (rounded) is your answer.

7 0

3 years ago