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2 years ago

What is the measure of the scale down below

Mathematics

2 answers:

Dima020 [189]2 years ago

8 0

Answer:

58 degrees

Step-by-step explanation:

A right angle is always equal to 90 degrees. So, Angle XOY (32 degrees) plus angle YOZ (x degrees) has to equal 90.

32 + x = 90

32 + x (- 32) = 90 (- 32)

x = 58

Therefore, x equals 58 degrees. I hope this was helpful! Have a lovely day!!! :D

EastWind [94]2 years ago

4 0

Answer:

58 degrees

Step-by-step explanation:

It shows a square which means it is a right angle / 90 degrees. So that means because 32 degrees is already there the equation is 90 - 32 = 58 degrees.

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9/20

Stella [2.4K]

Question:

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

Answer:

The number of real solutions for the equation $x^{2}+5 x+7=0$ is zero

Solution:

For a Quadratic Equation of form : $a x^{2}+b x+c=0$ ---- eqn 1

The solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now , the given Quadratic Equation is $x^{2}+5 x+7=0$ ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , $b^2 - 4ac$ is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

$D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3$

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

4 0

3 years ago

Lori bought a shirt and a hat at half-off sale. If she spent a total of $21 on the two items, what was the original price of the

Rzqust [24]

Answer:

Step-by-step explanation:

first you do 21×2 and that's literally it

3 0

3 years ago

How do i find a formula for "1+3+5+7+......+(2n-1)

nata0808 [166]

Answer:

Step-by-step explanation:

common difference d=3-1=2

first term a=1

an=a+(n-1)d

2n-1=1+(l-1)2

2n-1=1+2l-2

2n-1=2l-1

l=n

(i used l for number of terms)

number of terms=n

$S_{n}=\frac{n}{2} (first ~term+last~term)\\=\frac{n}{2} (1+2n-1)\\=n^2$

7 0

3 years ago

Answers for both boxes please for 25 points!

MrRa [10]

Answer:

Step-by-step explanation:

you just need to add both equations

you will get 3y=12+6=18

3y=18

y=6

now replace y=6

3x+12=6

3x=6-12

3x=-6

x=-2

(-2,6)

5 0

3 years ago

Read 2 more answers

What value of x satisfies the equation below? Explain how you know -3x = 15

lisov135 [29]

-3x = 15
————
-3. -3

x= -5

5 0

3 years ago

Read 2 more answers