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2 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x. 57°

Mathematics

2 answers:

lorasvet [3.4K]2 years ago

8 0

Answer:

x = 33°

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

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Define

Identify and set up

x° + 90° + 57° = 180°

Step 2: Solve for x

[Addition] Combine like terms: x° + 147° = 180°
[Subtraction Property of Equality] Subtract 147 on both sides: x° = 33°

denis-greek [22]2 years ago

4 0

Answer:

Angle = 33

Step-by-step explanation:

Angles should add up to 180 and the angles shown are 90 and 57 and then add those to get 147 then subtract 147 by 180 to get 33 for the angle. Hope this helps!

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In a sample of 7500 new iphones, 18 were found to be defective. at this rate, how many defective iphones would be expected in a

viva [34]

In 7500 iPhones, 18 were found defective.
18 of 7500 is 0.24%
0.24% of iPhones were defective.

Using the information above:
In a sample of 60000 new iPhones, 144 would be found defective.
144 of 60000 is 0.24%

Answer: 144 defective iPhones would be expected in a sample of 60,000.

Hope this helps! Good luck. :-)

8 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

aev [14]

Answer: (B) -625

Step-by-step explanation:

Given the sequence {-500, -100, -20, -4, -0.8, ... }, we know that that the first term (a) is -500 and the ratio (r) is $\dfrac{-100}{-500}=\dfrac{1}{5}$

Input those values into the Sum formula:

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_8=\dfrac{-500\bigg(1-\dfrac{1}{5}^n\bigg)}{1-\dfrac{1}{5}}\\\\.\quad=\dfrac{-500\bigg(1-\dfrac{1}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{-500\bigg(\dfrac{390,624}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{5(-500)(390,624)}{4(390,625)}\\\\.\quad=-624.998\\\\.\quad=-625\quad \text{(rounded to 2 decimal places)}$

4 0

3 years ago

Please help me with this one.

mixas84 [53]

Answer:

a. s = .9*r

b. Yes, because the regular price is only being multiplied by a number without any additional operations.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Can anyone help me find the (?,?) coordinates? The given shape is a parallelogram.

Sonja [21]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Given shape is a parallelogram.

Construction: Draw a line joining the diagonals.

In parallelogram, diagonals bisect each other.

Solve it using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

Using this midpoint find the missing coordinate.

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinates and y-coordinates.

$$ \frac{m+h}{2}=\frac{x}{2}, \ \ \ \frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x, n = y

x = m + h and y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

7 0

2 years ago

The area of a rectangular television screen is 3456 in^2. The width of that screen is 24 inches longer than the length. What is

shutvik [7]

1. The problem says that the television has a rectangular shape. So, the formula for caculate the area of a rectangle is:

A=LxW

"A" is the area of the rectangle (A=3456 inches²).
"L" is the the length of the rectangle.
"W" is the width of the rectangle.

2. The width of the screen is 24 inches longer than the length. This can be expressed as below:

W=24+L

3. Then, you must substitute W=24+L into the formula A=LxW:

A=LxW
 3456=L(24+L)
3456=24L+L²

4. The quadratic equation is:

L²+24L-3456=0

5. When you solve the quadratic equation, you obtain:

L=48 inches

6. Finally, you must substitute the value of the length, into W=24+L:

W=24+L
W=24+48
W=72 inches

7. Therefore, the dimensions of the screen are:

L=48 inches
W=72 inches

4 0

2 years ago