All categories

3 years ago

I need help with the bottom section b

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

4 0

Answer:

Interior Angle Theorem

x=5

measure of angles: 46, 46, 134

Step-by-step explanation:

Interior angle theorem

12x-14=5x+21

7x=35

x=5

12x-14=12(5)-14=46

5x+21=5(5)+21=46

20x+34=20(5)+34=134

You might be interested in

write the x and y coordinate (in the second and third column, respectively) of dilation of quadrilateral ABCD with vertices A(1,

gayaneshka [121]

Answer:

The coordinates of the dillated vertices are $A'(x,y) = (2,2)$ , $B'(x,y) = (4,4)$ , $C'(x,y) = (8,2)$ and $D'(x,y) = (4,-2)$ .

Step-by-step explanation:

From Linear Algebra, we define dilation by the following equation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$k$ - Scale factor, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0, 0)$ , $k = 2$ , $A(x,y) = (1,1)$ , $B(x,y) = (2,2)$ , $C(x,y) = (4,1)$ and $D(x,y) = (2,-1)$ , then the dilated points are, respectively:

Point A

$A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]$ (2)

$A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)]$

$A'(x,y) = (2,2)$

Point B

$B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]$ (3)

$B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)]$

$B'(x,y) = (4,4)$

Point C

$C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]$

$C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)]$

$C'(x,y) = (8,2)$

Point D

$D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)]$

$D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)]$

$D'(x,y) = (4,-2)$

The coordinates of the dillated vertices are $A'(x,y) = (2,2)$ , $B'(x,y) = (4,4)$ , $C'(x,y) = (8,2)$ and $D'(x,y) = (4,-2)$ .

4 0

3 years ago

Plot the image of point D under a dilation about the origin (0,0) with a scale factor of 3.

Olenka [21]

Answer:

The correct answer is 0,-6

6 0

2 years ago

DJ Mykel is making a playlist for a radio show; he is trying to decide what 14 songs to play and in what order they should be pl

konstantin123 [22]

Answer:

5878600 different playlists.

Step-by-step explanation:

Since we require 14 songs for the playlist and there are 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and DJ Mykel wants to play no more than 3 hip-hop songs, the number of ways in which he can combine the 7 hip-hop songs to play no more than 3 is ⁷C₃ = 7!/4!3!.

Now, since we have 3 songs already selected, we are left with 14 - 3 = 11 songs to select.

Since we have selected the 3 hip-hop songs, we are left with 5 jazz, 7 pop, and 8 blues songs which sum to a total of 20 songs.

So, we have 20 songs to select in 11 ways which is ²⁰C₁₁ = 20!/(20 - 11)!11! = 20!/9!11!

So, the number of different playlists that can be formed is thus

⁷C₃ × ²⁰C₁₁ = 7!/4!3!.× 20!/9!11!

= 35 × 167960

= 5878600 different playlists.

8 0

3 years ago

Multiple Choice. Which of the following fractions is equivalent to 6/15

Lemur [1.5K]

Answer:

2/5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Anis completed a journey of 4.5 km by walking for 30 minutes at

iris [78.8K]

Answer:

speed=d/t

let him cover x distance while walking

running d=4.5-x

s1=x/0.5 km/hr....(1)

s2=4.5-x//5/12.....(2)

atq.....s2=2+s1

s1=2x

s2=54-12x/5

by eqn 1 and 2

s1+s2=2x+54-12x/5

putting value of s2

s1+2+s1=2x+54-12x/5....taking LCM =5

10s1+10= 10x+54-12x

as s1=2x

10s1+10= -2x+54

10s1+10=-s1+54

11s1=44

speed when walking=4km/hr

5 0

3 years ago