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3 years ago

Please Help for both 6 and 7. I’m confused on both. Please show Explanation. Will Select Brainliest.

Mathematics

1 answer:

krek1111 [17]3 years ago

8 0

answer: 32, 72

question 6

angle PQR and 148 are supplementary angles, so they add up to 180

PQR + 148 = 180

PQR = 180 - 148 = 32

question 7

in triangle RTS, all three angles must add up to 180

angle R = angle PQR = 32

angle S = 180 - 104 = 76 (because of supplementary angles)

angle T = angle RTS (we need to find this)

32 + 76 + angle RTS = 180

angle RTS = 72

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2 Here are two equations:

MatroZZZ [7]

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Step-by-step explanation:

a. Decide whether each neither of the equations,

i (3,4)

ii. (4,2.5)

ill. (5,5)

iv. (3,2)

To decide whether each point is solution to equations or not we will put the point in the equations

Equations are:

Equation 1: 6x + 4y = 34

Equation 2: 5x – 2y = 15

i (3,4)

Putting in Equation 1:

$6(3) + 4(4) = 34\\18+16=34\\34=34\\$

Putting in Equation 2:

$5(3) - 2(4) = 15\\15-8 = 15\\7\neq 15$

ii. (4,2.5)

Putting in Equation 1:

$6(4) + 4(2.5) = 34\\24+10=34\\34=34\\$

Putting in Equation 2:

$5(4) - 2(2.5) = 15\\20-5 = 15\\15=15$

ill. (5,5)

$6(5) + 4(5) = 34\\30+20=34\\50\neq 34$

Putting in Equation 2:

$5(5) - 2(5) = 15\\25-10 = 15\\15=15$

iv. (3,2)

$6(3) + 4(2) = 34\\18+8=34\\26\neq 34$

Putting in Equation 2:

$5(3) - 2(2) = 15\\15-4 = 15\\11\neq 15$

Hence,

(3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. Is it possible to have more than one (x, y) pair that is a solution to both

equations?

The simultaneous linear equations' solution is the point on which the lines intersect. Two lines can intersect only on one point. So a linear system cannot have more than one point as a solution

So,

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Keywords: Linear equations, Ordered pairs

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Solve 5x^2-2=-12 by taking the square root

k0ka [10]

Answer:

x = ±i√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

Subtraction Property of Equality

Algebra II

Imaginary root i

i = √-1

Step-by-step explanation:

Step 1: Define

Identify

5x² - 2 = -12

Step 2: Solve for x

[Addition Property of Equality] Add 2 on both sides: 5x² = -10
[Division Property of Equality] Divide 5 on both sides: x² = -2
[Equality Property] Square root both sides: x = ±√-2
Rewrite: x = ±√-1 · √2
Simplify: x = ±i√2

7 0

3 years ago

If three people are considering registering for a math class, sections: A, B and C:

Artemon [7]

B how many ways can they register for the same section

6 0

2 years ago

Need help rn please?/..Thank you. Multiple step equation

liubo4ka [24]

Answer:

The answer (using BEDMAS) is 27

Step-by-step explanation:

The equation 9 x [(18+2) ÷ 5 - 1] is solved using BEDMAS or PEDMAS

First solve the smaller bracket

18 + 2 = 20

So then it becomes 9 x [20 ÷ 5 - 1]

Do the division inside the bracket next

20 ÷ 5 = 4

Then it becomes 9 x [4 - 1]

Do then subtraction within the bracket

4 - 1 = 3

Then it becomes 9 x 3

Finally solve 9 x 3 which equals 27

5 0

3 years ago

What is 0.6n = $2.10

kompoz [17]

Answer: 3.5

Step-by-step explanation:

2.10/0.6=3.5

3.5x0.6=2.10

6 0

3 years ago