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3 years ago

The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second angle measures (5x +19)º

Mathematics

1 answer:

lapo4ka [179]3 years ago

8 0

Answer:

third angle = (-6x + 161)°

Step-by-step explanation:

180° = (x)° + (5x + 19)° + third angle →

180° = (6x + 19)° + third angle →

180° – (6x + 19)° = (6x + 19)° + third angle – (6x + 19)° →

180° – (6x + 19)° = third angle →

180° + -(6x + 19)° = third angle →

180° + (-6x)° + (-19)° = third angle

180° – 6x° – 19° = third angle

(180° – 19°) – 6x° = third angle

161° – 6x° = third angle

third angle = 161 – 6x°

third angle = -6x° + 161°

third angle = (-6x + 161)°

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A bag contains purple marbles and red marbles, 34 in total. The number of purple marbles is 2 more than 3 times the number of re

Irina-Kira [14]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

Firstly, you have to make an expression in terms of x where x represent red marbles. Given that the question says purple marbles is 2 more than 3 times the number of red marbles. So the expression is :

Let red marbles = x,

$purple = 2 + 3x$

$red = x$

Next, given that the total marbles in the bag is 34 so you have to add both marbles together and solve the value of x :

$2 + 3x + x = 34$

$4x = 32$

$x = 32 \div 4$

$x = 8$

Lastly, you have to substitute the value of x into the expression of purple marbles :

Let x = 8,

$purpe = 2 + 3(8)$

$purple = 26$

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3 years ago

I just need help set up

Vilka [71]

Answer:

Step-by-step explanation:

Set up equations (L= Lisa; M = Maria; A = April; J = Jim)

L = 12M

A = 2J

Substitute x for Maria and 6x for Jim

L = 12x

A = 2(6x) = 12x

So, you get:

Maria = x

Jim = 6x

Lisa = 12x

April = 12x

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3 years ago

8/3 = 3 (c + 5/3) how to solve step by step

Ludmilka [50]

Answer:

Step-by-step explanation:

8/3=3(c+5/3)

multiply both sides by 3

8=9(c+5/3)

divide both sides by 9

8/9=c+5/3

subtract 5/3 from both sides

c=8/9-5/3

change 5/3 to 15/9

c=8/9-15/9

c=-7/9

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3 years ago

A family eats at a restaurant . The bill is$ 42 dollars . The family leaves a tip and spends $ 49.77 dollars .

bagirrra123 [75]

Answer:

Since you didnt include an actual question im guessing you are looking for the tip amount which would be $ 7.77

Step-by-step explanation:

49.77-42=7.77

3 0

3 years ago

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according to the fundamental theorem of algebra , how many zeros does the polynomial below have x^4 +5x^3+10x^2+20x+24

Vinil7 [7]

Answer:

Step-by-step explanation:

the Fundamental Theorem of Algebra states that for any polynomial of degree n, there are n roots, some of which may be complex

The polynomial shown is of degree 4 ( highest exponent of x )

Hence the polynomial has 4 roots/ zeros

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2 years ago

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