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
nirvana33 [79]
3 years ago
7

The ratio of the measures of the three angles is 4:5:6. Find the measure of each angle of the triangle

Mathematics
1 answer:
Furkat [3]3 years ago
4 0

Answer:

Let the number be x.

Given the statement: The ratio of the measure of the three angles is, 4 : 5 : 6.

Then, the angles be 4x , 5x and 6x respectively.

We know that: The sum of all the measures of angles is 180 degree.

then;

4x+5x+6x = 180^{\circ}

Combine like terms;

15x = 180^{\circ}

Divide by 15 both sides we get;

x = 12

Then, the measure of each angle of triangle:

4x = 4(12) = 48^{\circ}

5x = 5(12) = 60^{\circ}

6x = 6(12) = 72^{\circ}

You might be interested in
A calculator may be used for this question. The energy saving from recycling one glass bottle will power the oven Adam uses to c
evablogger [386]
The one above is right.
5 0
3 years ago
When two distinct circles lie in the same plane, what is the largest number of points at which they can intersect?
Rama09 [41]
All the points if they lay on top of eachother

if they arent on top of eachother, they can intersect at 2 points
6 0
3 years ago
Derive the equation of the parabola with the focus <br> is (-7,5) and the directrix of y=-11
Volgvan
So, notice, the focus point is at -7, 5, and the directrix is at y = -11.

keep in mind that the vertex is half-way between those two fellows, and the distance from the vertex to either one of them is "p" units, check the picture below.

with that focus point and that directrix, the half-way over the axis of symmetry will be -7, -3, that's where the vertex is at, and notice the distance "p", is 8 units.

since the parabola is opening upwards, "p" is positive 8.

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;4p(x- h)=(y- k)^2&#10;\\\\&#10;\boxed{4p(y- k)=(x- h)^2}&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ( h, k)\\\\&#10; p=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;h=-7\\&#10;k=-3\\&#10;p=8&#10;\end{cases}\implies 4(8)[y-(-3)]=[x-(-7)]^2&#10;\\\\\\&#10;32(y+3)=(x+7)^2\implies y+3=\cfrac{1}{32}(x+7)^2&#10;\\\\\\&#10;y=\cfrac{1}{32}(x+7)^2-3

8 0
3 years ago
I forgot how to find the x coordinates for the intersection already :( I will be very much appreciated if I could get a step by
mr_godi [17]

In the graph,

Amplitude = 1.5 units

Period = 180°

The x-intercepts are 40°, 140°, 220°, and 320°

<h3>Determining x-intercepts </h3>

From the question, we are to determine the amplitude, period and the x-intercepts of the given graph

Amplitude is the distance from rest to crest.

In the graph,

Amplitude = 1.5 units

Period is how long from crest to crest OR trough to trough

In the graph,

Period = 180°

x-intercepts refers to the points where the graph cuts the x-axis

In the graph,

The x-intercepts are 40°, 140°, 220°, and 320°

Learn more on Determining x-intercepts here: brainly.com/question/24148225

#SPJ1

6 0
2 years ago
Find the equation of the line<br> That is perpendicular to y=-2x+1 and contains the point (8,2)
skelet666 [1.2K]

Answer:

y=.5x-2

Step-by-step explanation:

If one line is perpendicular to another that means that their slopes are negative reciprocals

which means that the slope (or m in y=mx+b) is .5

so far we have

y=.5x+b

to solve for b we plug in (8,2)

2=.5(8)+b

2=4+b

-2=b

therefore our equation is

y=.5x-2

5 0
3 years ago
Read 2 more answers
Other questions:
  • If 150 empty water bottles weigh 4.5 pounds what do you expect 90 water empty bottles to weigh?
    15·2 answers
  • What is the first step to solving this equation? -5c + 6 = -4
    9·2 answers
  • Use Euclid's division algorithm to find the HCF of 441, 567, 693
    13·1 answer
  • The level of a lake was 8 inches below normal. It decreased 1 and 1/4 inches in June and 2 and 3/8 inches more in July. What was
    12·1 answer
  • 427 thousand as a scientic notation ​
    14·2 answers
  • Help Please I will Give Brainliest if Correct!!
    5·2 answers
  • Use this diagram to find the required measures. 1 = 30°, 2 = 30°, 3 =
    12·1 answer
  • find the image ( -2, 1 ) obtained by traslating 3 units down followed by a reflection over the y-axis can comeone tell my the an
    9·1 answer
  • HELP ME WITH BOTH OF THEM!! ​HELP
    10·2 answers
  • How much work is done lifting a 100 Newton book onto a shelf that is 2 meters high on Earth?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!