All categories

3 years ago

Can someone please help me on this?

Mathematics

1 answer:

Elza [17]3 years ago

6 0

Answer:

First angle: 27

Second angle: 135

Third angle: 18

Draw a triangle with one obtuse angle and 2 acute angles.

Step-by-step explanation:

Determine the variables:

first angle: f

second angle: s

third angle: t

Write an equation for the second angle:

s=5f

Write an equation for the third angle:

t=2/3f

Write an equation for the total angle measurements:

s+t+f=180

Substitute them and solve

5f+2/3f+f=180

f=27

5(27)=135=s

2/3(27)=18=t

First angle: 27

Second angle: 135

Third angle: 18

You might be interested in

Which of the following is not a congruence theorem or postulate?

rosijanka [135]

Answer:

What are the following

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A candle is in the shape of a square pyramid. Its height is 5 cm and its slant height is 8 cm

Akimi4 [234]

Using the Pythagoras theorem

8^2 = 5^2 + x^2 where x = 1/2 length of the base

x^2 = 64-25 = 39

x = = sqrt39 = 6.24

so base length = 2*6.24 = 12.5 cm to nearest tenth

3 0

3 years ago

The median of $20, x, 15, 30, 25$ is $0.4$ less than the mean. If $x$ is a whole number, what is the sum of all possible values

34kurt

Answer:

198

Step-by-step explanation:

5 0

3 years ago

HELP?? QUESTION BELOW! :3

aleksandr82 [10.1K]

Hey dear !!

equation of point slope is of form :-..

◆y-y1 =m(x-x1). ----------(*1)

so here m = 2

y1= 9 , x1 =5

put these value in eqn 1

=) y-9 =2(x-5)

option 1 st is correct

4 0

3 years ago

Read 2 more answers

A new movie is released each year for 8 years to go along with a popular book series. Which movie is 5 minutes longer than the l

Vinil7 [7]

Answer:

$\boxed{\text{12 h 20 min}}$

Step-by-step explanation:

1. Find the eighth term

You have an arithmetic sequence. It starts at 75 and each successive term is 5 more than the one preceding it

The general formula for the nth term (aₙ) is

aₙ = a₁ + (n - 1)d

where a₁ is the first term and d is the common difference (5) between consecutive terms. Thus,

a₈ = 75 + (8 - 1) × 5 = 75 + 7 × 5 = 75 + 35 = 110

2. Find the sum

The formula for sum of the first n terms of an arithmetic sequence is

$S_{n} & = & \dfrac{n(a_{1} + a_{n})}{2}$

$\begin{array}{rcl}S_{8}& = & \dfrac{8(75 +110)}{2}\\& = & 4 \times 185\\& = & \text{740 min}\\& = & \textbf{12 h 20 min}\\\end{array}\\\text{The total length of all eight movies is }\boxed{\textbf{12 h 20 min}}$

4 0

3 years ago