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3 years ago

25 points? last one..Lol

Mathematics

2 answers:

cricket20 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

< 6 = 38 vertical angles

< 6 = <2 alternate interior angles

<2 = <4 vertical angles

<4 = 38

ad-work [718]3 years ago

3 0

Answer:

Step-by-step explanation:

The 38-deg angle and and angle 6 are vertical angles, so they are congruent.

m<6 = 38 deg

Angles 6 and 4 are corresponding angles of parallel lines cut by a transversal, so they are congruent.

m<4 = m<6 = 38 deg

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Solve each equation you must use

n200080 [17]

1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.

2)The solution for b² - 4b + 4 = 0 is x=2.

<u>Step-by-step explanation</u>:

The general form of quadratic equation is ax²+bx+c = 0

where

a is the coefficient of x².
b is the coefficient of x.
c is the constant term.

<u>To find the roots :</u>

Sum of the roots = b
Product of the roots = c

1) The given quadratic equation is m² - 5m - 14 = 0.

From the above equation, it can be determined that b = -5 and c = -14

The roots are -7 and 2.

Sum of the roots = -7+2 = -5
Product of the roots = -7 $\times$ 2 = -14

The solution is given by (x-7) (x+2) = 0.

Therefore, the solutions are x=7 and x= -2.

2) The given quadratic equation is b² - 4b + 4 = 0.

From the above equation, it can be determined that b = -4 and c = 4

The roots are -2 and -2.

Sum of the roots = -2-2 = -4
Product of the roots = -2 $\times$ -2 = 4

The solution is given by (x-2) (x-2) = 0.

Therefore, the solution is x=2.

5 0

2 years ago

Interpret the following table about school dropout at the basic level (5 marks)

barxatty [35]

Answer:

Step-by-step explanation:

Given the following :

- - - Jhs

Basic level - - - - Boys - - - - Girls - - - - Total

Primary - - - - - - - 49 - - - - - - 51 - - - - - - 100%

Jhs - - - - - - - - - - 56 - - - - - - 44. - - - - - - 100%

With the information above,

Primary Dropout percentage:

BOYS : [49 / (49 +51)] × 100.= 49%

GIRLS : [51 / (49 +51)] × 100.= 51%

Jhs: Dropout percentage

BOYS : [56 / ( 56 + 44) × 100 = 56%

GIRLS : [44 / (44 +56)] × 100.= 44%

8 0

2 years ago

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD=√2 cm.

Zielflug [23.3K]

Given that triangle ABC is right angle triangle. CD is altitude such that AD=BC

ABC is a right angle triangle so apply Pythogorean theorem

$AC^{2} + BC^{2} = AB^{2}$

$AC^{2} + AD^{2} = AB^{2}$ (Given that AD = BC)

$AC^{2} + AD^{2} = 3^{2}$ (Given that AB=3)

$AC^{2} + AD^{2} = 9$ ...(i)

ADC is a right angle triangle so apply Pythogorean theorem

$AD^{2} + CD^{2} = AC^{2}$

$AD^{2}+(\sqrt{2})^2= AC^{2}$

$AD^{2}+2= AC^{2}$

$AD^{2}=AC^{2} -2$ ...(ii)

Plug value (ii) into (i)

$AC^{2} + AC^{2}-2 = 9$

$2AC^{2} -2=9$

$2AC^{2} =11$

$AC^{2} =\frac{11}{2}$

$AC=\sqrt{\frac{11}{2} }$

Hence final answer is $AC=\sqrt{\frac{11}{2} }$

8 0

2 years ago

Read 2 more answers

Thomas has graphed the function y = 7x – 10 on a coordinate plane.

Alik [6]

Answer: C.It has a negative association

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Katrina had a bookcase that holds 200 books. She can put 20 books on each shelf. If 20% of the bookcase is empty, how many shelv

Tom [10]

Answer:

First, find 20% of the 200 books. Then, subtract that amount by the total and divide that amount by 20 to receive your answer.

Step-by-step explanation:

20 x 200

/100 = 40

Therefore, there are 40 books missing.

200-40 = 160

160/20 = 8 shelves are filled with books.

There are 10 shelves in total: 160 books are on 8 shelves and 40 books are missing for 2 shelves

5 0

2 years ago

25 points? last one..Lol​

25 points? last one..Lol