1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rosijanka [135]
3 years ago
13

The m<1 is 18 more than twice m<2. Find m<3.

Mathematics
1 answer:
almond37 [142]3 years ago
7 0
<h3>Answer:  126 degrees</h3>

====================================================

Explanation

x = measure of angle 1

y = measure of angle 2

x = 2y+18, since angle 1 is 18 more than twice that of angle 2

Assuming this is a parallelogram, the adjacent angles are supplementary. So,

x+y = 180

2y+18+y = 180

3y+18 = 180

3y = 180-18

3y = 162

y = 162/3

y = 54

This leads to,

x = 2y+18

x = 2*54+18

x = 108+18

x = 126

Note that x+y = 126+54 = 180

Another useful fact about parallelograms is that the opposite angles are the same measure. So angle 1 = angle 3 = 126 degrees

You might be interested in
Which expressions are equivalent to the one below? Check all that apply.
In-s [12.5K]
The answer is E:5
a^n/b^m=a/b^n/m
So x/x=1 and 25/5=5
Then 5^1=5
3 0
4 years ago
Read 2 more answers
I need help answering these questions as well if someone would
svetoff [14.1K]
#7 is about 4 minutes

6 0
3 years ago
Which of the following equations is equivalent to the equation 6x-y=1
kondaur [170]
A. 6x-y=1 can go to 6x-y-1=0 and then 6x-1 = y 
3 0
4 years ago
Read 2 more answers
John opens a savings account with $1,000 that compounds interest daily. The APR at the time John deposits the account is 3.5%. H
3241004551 [841]
\bf \qquad  \qquad  \textit{Annual Yield Formula}&#10;\\\\&#10;\qquad \qquad \left(1+\frac{r}{n}\right)^{n}-1&#10;\\\\&#10;\begin{cases}&#10;r=rate\to 3.5\%\to \frac{3.5}{100}\to &0.035\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{daily, so in a year is 365}&#10;\end{array}\to &365&#10;\end{cases}&#10;\\\\\\&#10;\left(1+\frac{0.035}{365}\right)^{365}-1

you'll get a decimal format, just multiply it times 100, to get the % format
6 0
3 years ago
Read 2 more answers
A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco
bekas [8.4K]

answer:

f(t) = -9.9788169(t -0.76)^2 +57

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the  number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is f(x)= a(x-p)^2 +q  , where (p,q) is the turning point. now we substitute the turning point

f(t) = a(t-0.76)^2 + 57, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

-57 =a(2.39)^2  

-57 = a(5.7121)

-57/5.7121 =a

-9.9788169 = a      then we substitute a to get the quadratic equation therefore f is

f(t) = -9.9788169(t-0.76)^2 +57

4 0
3 years ago
Other questions:
  • Which two rational numbers does the root 14 lie between?
    14·1 answer
  • The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of
    6·1 answer
  • You can include ____ in calculations to indicate which calculation should be done first.
    11·1 answer
  • If it takes 7 vehicles to transport 42 people how many vehicles will it take ro transport 132 people
    5·2 answers
  • Helpppppp! only find the equation of the line. urgent!
    10·2 answers
  • 6 – 2x = 24<br> -6<br> - 6<br> 2x = 18<br> 2 2<br> x = 9<br> Is this statement true or false?
    13·1 answer
  • Any whole number less than 0 is negative.<br> A: True<br> B: False
    7·2 answers
  • I will give 20 points!!! Please answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!! this is confusing, my math instructions say "Factor out
    14·1 answer
  • What is 1000000+25437
    9·2 answers
  • Last one because the others i know
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!