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
Phantasy [73]
3 years ago
7

The measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. What is the measure of the smallest angle?

Mathematics
1 answer:
anyanavicka [17]3 years ago
8 0
<span>The sum of the interior angles of a triangle is 180 degrees
</span>
4x + 5x + 6x = 180
15x = 180
x = 180/15
x = 12

<span>The measure of the smallest angle = 4x = 4*12 = 48</span>°
You might be interested in
A school bought $548 in basketball equipment and uniforms costing $29.50 each. The total cost was $2,023. Write an equation you
VladimirAG [237]
Equation:
Total cost = fixed costs + variable costs
2023 = 548 + 29.50x

Solution:
2023 - 548 = 29.50x
(2023 - 548)/29.50 = x
50 = x
3 0
3 years ago
Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi
Marta_Voda [28]

Answer:

<em>(-3, -129)</em>

<em></em>

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. m_1\times m_2=-1

Slope of a line of the form ax+by+c=0 is given as:

m=-\dfrac{a}{b}

So, slopes of given lines are:

m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}

Using the condition:

-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3

Putting the value of P in equation (1):

\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129

So, answer is <em>(-3, -129)</em>

7 0
3 years ago
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Zielflug [23.3K]
C: 1 × 4 × 4

D: 2 × 2 × 4
3 0
3 years ago
Graph in comments
Xelga [282]

it is going to take 18 miles in 1 hour

3 0
2 years ago
Juan texts 20 messages in 5 minutes. At this rate how many text messages can he send in 30 minutes
pochemuha
<h2>Answer:</h2>

The answer 120 MESSAGES

4 0
2 years ago
Read 2 more answers
Other questions:
  • Please answer these questions ASAP
    14·1 answer
  • Convert 30 feet per second into yards per minute
    13·2 answers
  • MATH PLEASE HELP <br> heeeeeeeelp​
    8·1 answer
  • The graph of which of the following will be parallel to the graph of y = 2x - 42
    5·2 answers
  • If. x^0=1 proved that​
    11·1 answer
  • Similar Triangles
    13·1 answer
  • What is sin R ?I have no idea how to solve​
    9·1 answer
  • Find all solutions of the equation in the interval [0, 2pi).
    13·1 answer
  • James makes three batches of brownies recipe how Much water does James need if he has 1 1/4​
    11·1 answer
  • EASY MATH ALGEBRA 1 PLEASE HELP FAST GIVING BRAINLIEST IF CORRECT!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!