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
Novay_Z [31]
11 months ago
15

QUESTIONS BELOW! PLEASE HELP DONT KNOW WHERE TO START IM CONFUSED AND NEED THIS DONE!

Mathematics
1 answer:
GrogVix [38]11 months ago
4 0

The measures of the angles are

  • Figure 1: <1 = 110 --- angle on a straight line
  • Figure 1: <2 = 25 --- base angle of an isosceles triangle
  • Figure <2: <1  = 55 -- angles in a triangle
  • Figure <2: <2  = 65 -- angles in a triangle
  • Figure <2: <3 = 30 -- -corresponding angles
  • Figure <2: <4 = 120 --- external angle of a triangle
  • Figure 3: <1 = 30 --- angles in a triangle
  • Figure 3: <2 = 25 --- corresponding angles

<h3>How to determine the measures of the angles</h3>

<u>Figure 1</u>

The angle on a straight line is 180 degrees

So, we have

<1 + 70 = 180

Evaluate

<1 = 110 --- angle on a straight line

Also, we have

<2 + <2 + <1 = 180

This gives

2 * <2 + 110 = 180

So, we have

2 * <2 = 180 - 110

Evaluate

<2 = 25 --- base angle of an isosceles triangle

<u>Figure 2</u>

The angles in a triangle is 180 degrees

So, we have

<2 + 25 + 90 = 180

Evaluate

<2 = 65

The angles in a triangle line is 180 degrees

So, we have

<1 + <2 + 60 = 180

<1 + 65 + 60 = 180

This gives

<1  = 55

Corresponding angles are equal.

So, we have

<3 + 25 = <1

<3 + 25 = 55

Evaluate

<3 = 30

By the theorem of external angle of a triangle, we have

<4 = 90 + <3

<4 = 90 + 30

<4 = 120

<u>Figure 3</u>

By corresponding angles, we have

<2 = 75

The angle on a straight line is 180

So, we have

x = 180 - 75 - <2

x = 180 - 75 - 75

x = 30

By the sum of angles in a triangle, we have

<1 = 180 - 120 - x

<1 = 180 - 120 - 30

<1 = 30

Read more about angles at

brainly.com/question/7620723

#SPJ1

You might be interested in
two trains are 500 miles apart when they first enter a colision course. If after, two hours the distance between them is 300 mil
dolphi86 [110]

Answer: 60mph

Step-by-step explanation:

500-300 = 200

200 = distance traveled in 2 hrs

100 = distance traveled every hour

100=2x+20, x being the slower train

80=2x

x=40

40+20 = 60, the speed of the faster train

3 0
2 years ago
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2-cm and a standard dev
Varvara68 [4.7K]

Answer:

The probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is 0.65173.

Step-by-step explanation:

We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.

Let \bar X = <u><em>the average length of rods in a randomly selected bundle of steel rods</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean length of rods = 259.2 cm

           \sigma = standard deviaton = 2.1 cm

           n = sample of steel rods = 17

Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P(\bar X > 259 cm)

 

     P(\bar X > 259 cm) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{259-259.2}{\frac{2.1}{\sqrt{17} } } ) = P(Z > -0.39) = P(Z < 0.39)

                                                                = <u>0.65173</u>

The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.

8 0
3 years ago
Solve the following system of equations and show all work.<br> y = 2x^2 +9x<br> y = 4x + 25
Genrish500 [490]

Answer:

x = 5/2 thì y = 35 và x = -5 thì y = 5

Step-by-step explanation:

thay y = 4x + 25 vào phương trình y = 2x ^ 2 + 9x ta có:

4x + 25 = 2x ^ 2 + 9x

⇒2x ^ 2 + 5x - 25 = 0

⇒ x = 5/2 và x = -5

thay x = 5/2 vào phương trình y = 4x + 25 ⇒ y = 4*(5/2) + 25 = 35

thay x = -5 vào phương trình y = 4x + 25 ⇒ y = 4*(-5) + 25 = 5

7 0
3 years ago
If a+b+c=16 and a^2+b^2+c^2=90 then find the value a^3+b^3+c^3-3abc
grin007 [14]

(a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ca)\\(16)^2=90+2(ab+bc+ca)\\256-90=2(ab+bc+ca)\\166/2=ab+bc+ca\\83=ab+bc+ca\\a^3-b^3-c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)\\(a+b+c)(a^2+b^2+c^2-(ab+bc+ca))\\16(90-(83))\\16(7)\\=112

3 0
3 years ago
The product of two numbers is 48. The first number is negative, and the second number is four more than twice the first number.
aksik [14]
First number is a and second one is 2a+4
a(2a+4)=48
a(a+2)=24
a^2+2a-24=0
(a+6)(a-4)=0
the question says a is negative so a=-6 b=-8
3 0
3 years ago
Other questions:
  • 28 + 8x = 8(x + 3) + 2<br><br>What is x? ​
    5·2 answers
  • If a basketball player is a 74% free throw shooter, then, on average, how many free throws will he or she make in a game with ei
    8·1 answer
  • Find x to the nearest tenth.<br><br> Please answer
    14·1 answer
  • Ela
    10·1 answer
  • george buys 6 apples. Arlene asks if george has the IQ of a fish. He tells her she looks like corned beef hash. Arlene beats Geo
    8·1 answer
  • Find the measure of &lt;JKL =63°​
    13·1 answer
  • Question 6
    13·1 answer
  • Please help me I need all the help I could get ASAP!
    12·2 answers
  • 3. Jala has an aquarium in the shape of a rectangular prism
    15·1 answer
  • Please helpWrite 78 percent as fraction In simplest form
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!