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3 years ago

Please helpp i need this rn if possible

Mathematics

1 answer:

Troyanec [42]3 years ago

4 0

Answer:

140, 60

Step-by-step explanation:

15x+5 + < CDB =180 line form an 180 angle

180-80-6x-6 = < CDB sum of angles in a triangle is 180

substitute < CDB from second to first

15x+5+180 -80-6x-6 =180

combine like terms

9x -81 =0

x=81/9=9

so angle YDC = 15*9+5 = 140 degrees

and angle DBC = 6*9+6= 60 degrees

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sally states that a triangle can only have one obtuse or right angle however a triangle must have at least to acute angles is sa

artcher [175]

Answer: Yes, Sally is correct.

Step-by-step explanation: Both of Sally's statements are mathematically correct, because to begin with the total of the sum of angles in a triangle is always equal to 180 degrees. An acute angle is less than 90 degrees and that means we can calculate three acute angles from a triangle.

Also an obtuse angle is greater than 90 degrees, but less than 180 degrees. That means, a triangle cannot have more than one obtuse angle. If for instance a triangle has an angle measuring 91 degrees (obtuse angle), then the other two angles will be divided between the remainder which is 89 degrees.

Also a triangle can only have one right angle (which measures 90 degrees). This implies that, in a right angled triangle, there cannot be another 90 degree angle, because that would reduce the shape to two angles only (which is not possible).

A triangle can contain at least two acute angles (and at most three acute angles) and all three angles in either case must add up to 180 degrees.

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3 0

4 years ago

Read 2 more answers

a campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 206 like rock,

tester [92]

The probability that the randomly selected student exactly likes exactly one of the three types is 0.72

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Number of persons who likes rock music be R

Number of persons who likes Country music be C

Number of persons who likes Jazz music be J

R = 206

C = 158

J = 119

R ∩ C = 26 - 7 = 19

R ∩ J = 27 - 7 = 20

C ∩ J = 19 - 7 = 12

R ∩ C ∩ J = 7

Thus, number that liked only jazz music is;

n(only jazz) = J - [(R ∩ J) + (C ∩ J) + (R ∩ C ∩ J)]

n(only jazz) = 119 - (20 + 12+ 7)

n(only J) = 119-39=80

Number of students that liked only Rock music;

n(only Rock) = R - [(R ∩ C) + (R ∩ J) + (R ∩ C ∩ J)]

n(only Rock) = 206 - (19 + 20 + 7)

n(only R) = 206-46=160

Number of students that liked only country music;

n(only country) = C - [(R ∩ C) + (C ∩ J) + (R ∩ C ∩ J)]

n(only country) = 158- (19 + 12 + 7)

n(only C) = 158-38=120

The probability that the randomly selected student exactly likes exactly one of the three types is,

P= (80+160+120)/500

P=360/500

P=0.72

Therefore, the probability is 0.72.

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8 0

1 year ago

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iogann1982 [59]

Answer: 75° is the smallest amount you need to rotate the image for it to look the same.

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3 years ago

EMERGENCY I HAVE TO TURN THIS IN TOMORROW!!!!

Kamila [148]

The Percentage of Sally's Team Wins :

$\bf{\implies (\frac{Number\;of\;Games\;won\;by\;the\;Team}{Total\;Number\;of\;Games\;the\;Team\;Played}) \times 100}$

Given : Total Number of Games the Team Played = 25

Given : Number of Games won by the Team = 17

$\bf{The\;Percentage\;of\;Team\;Wins = (\frac{17}{25}) \times 100}$

⇒ The Percentage of Sally's Team Wins = (17 × 4) = 68%

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4 years ago

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Divide 33 photos into 2 groups so the ratio is 4 to 7

lapo4ka [179]

First you'll need two equations ( you can use any variables you want)
A= photo group 1
B= photo group 2
First equation:
A + B = 33
This is because the total number of photos from both groups is 33
Second equation:
4A = 7B
This is because the ratio is 4:7 so for every four photos in group A there must be 7 photons in group B.
Then take the first equation A + B = 33 and subtract B from both sides. Making the equation A = 33 - B
Then with that equation, substitute it in for equation 2 and it will look like this. 4(33-B) = 7B
Then distribute the 4 to the 33 and the -B making the equation 132 - 4B = 7B
Then add 4B to each side
Making the equation 132 = 11B
Then to get B by itself you must divide each side by 11 making the equation 132/11 = B which simplifies to 12 = B
Then plug in 12 for B in the first equation like this A + 12 = 33
Then subtract 12 on each side of the equation to isolate A so A = 21

So
A = 21
B = 12

4 0

4 years ago