Mathematics High School

need help with this ​

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Answers

Answer 1

Answer:

ΔABD is an obtuse triangle

Step-by-step explanation:

The type of a triangle according to its angle measures

The acute triangle ⇒ it has 3 acute anglesThe right triangle ⇒ it has 1 right angle and 2 acute anglesThe obtuse triangle ⇒ it has 1 obtuse angle and 2 acute angles0° < acute angle < 90°right angle = 90°90° < obtuse angle < 180°

In triangle ABD

∵ m∠ABD = 100°

∵ m∠BAD = 50°

→ The sum of the interior angles of a triangle is 180°

∴ m∠ABD + m∠BAD + m∠BDA = 180°

∴ 100 + 50 + m∠BDA = 180

∴ 150 + m∠BDA = 180

→ Subtract 150 from both sides

∴ m∠BDA = 30°

∵ m∠ABD = 100°

∴ ∠ABD is an obtuse angle

∵ m∠BAD = 50° and m∠BDA = 30°

∴ ∠BAD and ∠BDA are acute angles

∵ ΔABD has 1 obtuse angle and 2 acute angles

∴ ΔABD is an obtuse triangle

Related Questions

Plz, Help me with this question.

Answers

Answer:

Hello :D

Step-by-step explanation:

Answer:

x+7 i think

Step-by-step explanation:

Adam is going to make concerte He Is going to use 180kg of cement 375kg of sand 1090kg of stone Cement, sand, stones are sold in bags: 1 bag cement is 25kg 1 bag sand is 22.5kg 1 bag stone is 50kg Adam already has 8 bags of cement 19 bags of sand 29 bags of stones Work out what bags he needs to buy to make the concrete. Working must be shown

Answers

Answer:

The answer is "90 kg stone ".

Step-by-step explanation:

Adam's got:

[tex]\to 8 \times 25 = 200 \\\\\to 19 \times 22.5 = 427.5 \\\\\to 20 \times 50 = 1000 \\\\[/tex]

He's got enough sand and cement  

The stone value:

[tex]\to 1090-1000 = 90 \ kg[/tex]  

He has 2 stone bags.

If x-2 is one of the factors of x^4-kx^2+4, find the value of k.

Answers

Step-by-step explanation:

Given expression is x⁴-kx²+4 =0

x−2 is a factor of the given expression.

So, x=2

Substitute in the equation, we get

2⁴-k(2)²+4

⇒16+4k+4=0

⇒4k=−20

⇒k=−5

Christian had $80.45 in his bank account on Monday.He deposited $20.50 on Tuesday.He then withdrew 37.25 on Wednesday.How much did Christian have left in his account on Thursday?

Answers

Answer:

138.2

Step-by-step explanation:

Answer:

For thursday he had 63.70 $

Step-by-step explanation:

80.45 + 20.50 - 37.25

63.70

A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
o 3359%
50%
6659%6
200%

Answers

Answer:

the first one

Step-by-step explanation:

hey guys please answer if you know​

Answers

Answer:

19

Step-by-step explanation:

note that

(a + b)² = a² + b² + 2ab , that is

a² + b² + 2ab = (a + b)² ← subtract 2ab from both sides

a² + b² = (a + b)² - 2ab

           = 5² - 2(3)

           = 25 - 6

          = 19

Answer:

19

Step-by-step explanation:

since value of both a+b and a*b are given

formula for a^2 + b^2 is (a+b)^2-2*a*b

Substituting those value,

a^2+b^2=5^2-2*3

i.e. 25-6

=19

An angle measures 7.4° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

41.3° and 48.7°

Step-by-step explanation:

Complementary angles are angles with the sum of 90°

if one of the angle is 7.4° less than other

(90 - 7.4) ÷ 2 = 41.3° is the measure of smaller angle and

41.3 + 7.4 = 48.7° is the measure of bigger angle

For the points P and Q, find the distance d(P, Q).
P(3,-6), Q(7,-4)

Answers

Answer:

d=2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

please give thanks :)

need some help (Geo)​

Answers

Answer:

b

Step-by-step explanation:bb

Step-by-step explanation:

Angle 6 and Angle 3 must be supplementary to show that the 2 lines are parallel (D).

A model ship is built to a scale of 1centimeter: 5 meters. The length of the model is 30 centimeters. What Is the length of the actual ship?

Answers

150 meters
Have a great day!

1) 35 is what percent of 140 2) 250 is 45% of what number? 3) 74 is what percent of 740? 4) 350 is 50% of what number?

Answers

Answer:

1) 25%

2) 555.56

3) 10%

4) 700

Step-by-step explanation:

1) 35 is what percent of 140

This is calculated as:

35/140 × 100

= 25%

2) 250 is 45% of what number?

Let the number be represented as x

This is calculated as:

45% of x = 250

45/100 × x = 250

45x /100 = 250

Cross Multiply

45x = 250 × 100

x = 25000/45

x = 555.55555556

x = 555.56

3) 74 is what percent of 740?

Let the percentage be represented by x

x% × 740 = 74

Divide both side by 740

x% = 74/740

x% = 0.1

Converting to percentage

0.1 × 100 = 10%

4) 350 is 50% of what number?

Let the number the represented by x

This is calculated as:

50% of x = 350

50/100 × x = 350

50x /100 = 350

Cross Multiply

50x = 350 × 100

x = 35000/50

x = 700

x = 555.56

Find the missing angles.​

Answers

Answer:

m3=113

m2=42

m1=88

Step-by-step explanation:

Help please no wrong answer

Answers

3 to the 6th power the third one

Answer:

3 with the 6 on top

Step-by-step explanation:

Hi, i need help Pleases.​

Answers

Wouldn’t it be 3.7 ?

Answer:

Step-by-step explanation:

Robert started to save money to purchase a new game console. His savings at the end of the first week included a jar of 368 nickels and dimes. The total value of the coins was $24.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?


a. n+ d = 368
5n + 10d = 24.40

b. n+ d = 24.40
0.05n + 0.10d = 368

c. n + d = 368
0.05n + 0.10d = 24.40

d. n + 9 = 368
0.5n + 0.10d = 24.40

Answers

Answer:

0.05n + 0.10 d =24.40

Step-by-step explanation:

Nickel is worth 0.05 of a dollar(1)

The system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week is:

n + d = 368

0.05n + 0.10d = 24.40

The number of nickels and dimes Anthony saved at the end of the first week can be determined using two equations. This is known as simultaneous equations.

The total number of nickels and dimes in the jar is 368. This can be represented with the equation:

nickels + dimes = 368

n + d = 368. This would be the first equation.

A nickel is equal to 0.05 of a dollar and a dime is equal to 0.1 of a dollar. The total sum of money in the jar is $24.40. This means that the value of dimes and nickels in the jar is $24.40. This can be represented with the equation: 0.05n + 0.10d = 24.40. This is the second equation.

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Find the equation of the straight line which is perpendicular to the straight line 3x+4y=12 such that perpendicular distance from the origin is equal to the perpendicular distance from (3,2) on the given line

Answers

Answer:

3y-4x = -6

Step-by-step explanation:

First get the slope of the given line;

Given the equation of the line 3x+4y=12

Rewrite in standard form y = mx+c where m is the slope;

3x+4y=12

4y = -3x + 12

y = -3x/4 + 12/4

y = -3x/4 + 3

Hence the slope of the given line is -3/4

Since the required line is perpendicular to this line, the slope of the required line will be M = -1/(-3/4) = 4/3

Get the equation:

Substitute M = 4/3 and the point (3,2) into the point slope equation of a line as shown;

y-y0 = m(x-x0)

y - 2 = 4/3(x-3)

Cross multiply

3(y-2) = 4(x-3)

3y - 6 = 4x - 12

3y - 4x = -12 + 6

3y-4x = -6

Hence the required equation of the line is 3y-4x = -6

Translate the inequality and solve. Three times a number is greater than six. 1 point​

Answers

Answer:

3x > 6

x > 2

Step-by-step explanation:

are the lines y=x+4 and y=x-2 perpendicular

Answers

Answer:

no they are parallel because the slope is the same they just are at different y- intercepts

What is 8/9 minus 5/6

Answers

Answer:

1/18

Step-by-step explanation:

Question below in image

Answers

33 is correct good job

What is the slope pls help

Answers

Answer: non- proportional

Step-by-step explanation:

doesn't go through (0,0)

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

To find the slope of a line, we would need to use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]. These points can be any two points that fall on the line.

In the graph, two points we can use to find the slope is (1, 2) and (-2, 0).

[tex]\frac{y_2-y_1}{x_2-x_1}\\\\\frac{0-2}{-2-1} \\= \frac{-2}{-3} \\= \frac{2}{3}[/tex]

Therefore, the slope of the line is [tex]\frac{2}{3}[/tex].

I hope this helps!

I need The rate of change

Answers

Answer:

m=4

Step-by-step explanation:

To find the average rate of change, you have to calculate the change in y over x which gives you 4

In the parrallelogram, find y.

Answers

Answer: I think it’s b which is also 5

Step-by-step explanation:

In the link

if I did it wrong someone pls correct me

Josue tosses a coin and spins the spinner at the right. What are all the possible outcomes?

Answers

Answer:

50 50 ?

Step-by-step explanation:

What is the approximate circumference of the circle shown below ? A^ 12.2 cn O A. 76.6 cm B. 48.8 cm C. 19.2 cm O 38.3 cm

Answers

Answer:

D. 38.3 cm

Step-by-step explanation:

Just took test on a p e x

Answer: 38.3

Step-by-step explanation:

Jamal drew angle bisector AD with D on the line segment BC. If BD=3, DC=9 and AB+AC=28 find AB and AC.

Answers

Answer:

  AB = 7

  AC = 21

Step-by-step explanation:

Because AD is an angle bisector it divides the triangle into proportional parts. That is ...

  AC/DC = AB/BD

  (28 -AB)/9 = AB/3 . . . . use AC = 28 -AB

  28 -AB = 3AB . . . . . . . . multiply by 9

  28 = 4AB . . . . . . . . add AB

  AB = 28/4 = 7 . . . . divide by 4

  AC = 28 -7 = 21

The lengths AB and AC are 7 and 21, respectively.

_____

Additional comment

The triangle ABC cannot exist. The reason is that its side measures are 7, 12, and 21. The sum of 7 and 12 is not greater than 21, so the side measures do not satisfy the triangle inequality.

For the triangle to exist, the sum of AB and AC cannot exceed 24 for the given values of BD and DC.

Use the expression $100 + 5n to find the total price for n students to take a field trip to the science museum. If 175 students go on the field trip, how much will total cost?

Answers

Answer:

Total cost= $975

Step-by-step explanation:

Giving the following information:

Total cost= 100 + 5*n

n= number of students

The $100 is a fixed cost. It remains constant no matter the number of students. The $5 is the unitary variable cost. The total variable cost increases with the number of students.

Total cost for 175 students:

Total cost= 100 + 5*175

Total cost= $975

PLEASE HELP ME!!!!!!!!!!!!! I WILL GIVE BRAINLIEST
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

{  x | x  >  9  }

C because it’s (9,infinity)

what is the answer for -2p > -16

Answers

Answer:

p<8

Step-by-step explanation:

We multiply both sides by -1 to get

But remember, when you do that you reverse it, so we turn > into a <

2p<16

we divide both sides by 2

p<8

Hope this helps :)

Answer:

p < 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-2p > -16

Step 2: Solve for p

Divide -2 on both sides:                    p < 8

Here we see that any number p smaller than 8 would work as a solution to the inequality.


The random variable W can take on the values of 0, 1, 2, 3, or 4. The expected value of W is 2.8. Which of the following is the best interpretation of the expected value of random variable W?
A randomly selected value of W must be equal to 2.8
B
The values of W vary by about 2.8 units from the mean of the distribution
с
The mean of a random sample of values selected from the distribution will be 2.8
D
A value of randomly selected from the distribution will be less than 2.8 units of the mean
E
For values of Wrepeatedly selected at random from the distribution the mean of the selected values will approach 2.8.

Answers

Answer:

E

Step-by-step explanation:

I did it on AP Classroom

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