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2 years ago

Need help ASAP! Directions in picture ;)

Mathematics

1 answer:

GuDViN [60]2 years ago

6 0

The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:

< (4x + 8) + < 72° = 180°

Combine like terms:
4x + 80 = 180°

Subtract 80 from both sides:

4x + 80° - 80° = 180° - 80°

4x = 100

Divide both sides by 4 to solve for x:

4x/4 = 100/4

x = 25

To verify whether the value of x is correct, substitute its value into the equality statement:

< (4x + 8)° + < 72° = 180°

< [4(25) + 8]° + < 72° = 180°

< (100 + 8)° + < 72° = 180°

< 108° + < 72° = 180°

180° = 180° (True statement. Therefore, the correct answer is x = 25).

Please mark my answers as the Brainliest if you find this helpful :)

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PYTHAGOREAN THEOREM IN 3D URGENT PLEASE PHOTO INSERTED

Andrews [41]

To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.

<h3>Pythagorean Theorem</h3>

This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.

To calculate the base of the triangle, let's use Pythagorean theorem here

$x^2 = y^2 + z^2\\x^2 = 2^2 + 3^2\\x^2 = 4 + 9 \\x^2 = 13\\x = \sqrt{13} \\x = 3.61$

Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.

$d^2 = 6^2 + 3.61^2\\d^2 = 36 + 13.0321\\d^2 = 49.0321\\d = \sqrt{49.0321} \\d = 7.00$

From the calculations above, the values of the triangle are

diagonal = 7
base = 3.61
height = 6

Learn more on pythagorean theorem here;

brainly.com/question/231802

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7 0

1 year ago

HELPPP!!!! Both questions are incredibly confusing to me !!!!!

Darya [45]

Answer:

Step-by-step explanation:

I'm going to start with problem 3. You need to become familar with the kind of tricks teachers play on you.

Problem 3 depends on getting RS = RW.

RT = RT Reflexive property

<STR = <WTR A straight line having 1 rt angle actually has 2

ST = TU They are marked as equal

Triangle STR=Triangle WTR SAS

RS = RW Corresponding parts of = triangles are =

8x = 6x + 5 Subtract 6x from both sides

8x -6x = 6x - 6x + 5 Combine

2x = 5 Divide by 2

2x/2 = 5/2

x = 2.5

RU = 6*2.5 + 5

RU = 15 + 5

RU = 20

Now we can play with Question 4.

This question depends on the method used in three, although not entirely.

What you need to know is that W is on RT when you take a ruler and make RT longer. You can put W anywhere as long as it is on RT when it is made longer.

Directions

Make RT longer. Draw down and to your right.

Put a point anywhere on the length starting at T. Label this new point as W. There's your W. It goes anywhere on the part of RT made longer.

Draw UW.

Label UW as 8

Now draw another line from S to W. Guess what? By the methods used in question 3, it's also 8. So SW = 8

TW = TW Reflexive

<UTW = STW Same reason as in 3. UtW is a right angle

UT = ST Given (the marking tells you so.

ΔUTW = ΔSTW SAS

UW = SW Corresponding parts of = triangles are =

SW = 8

7 0

2 years ago

Write a function in any form that would match the graph shown below.

Pani-rosa [81]

Answer:

(x-6)(x+5)^2 - 50

5 0

2 years ago

Write an equation that passes through the points (0,-5) and (8,-5)

bezimeni [28]

Answer:

Equation of the line: $y = -5$ .

Step-by-step explanation:

Let $(x_0,\, y_0)$ and $(x_1,\, y_1)$ denote the coordinates of these two points, respectively.

Calculate the slope $m$ of this line:

$\displaystyle m = \frac{y_1 - y_0}{x_1 - x_0} = \frac{(-5) - (-5)}{8 - 0} = 0$ .

Notice that the slope is zero because the two points have the same $y$ -coordinates ( $y_0 = y_1 = -5$ ) even though their $x$ -coordinates are distinct ( $x_0 \ne x_1$ .)

Equation for this line in point-slope form:

$y - y_0 = m\, (x - x_0)$ .

$y - (-5) = 0\, (x - 0)$ .

Rewrite and simplify to obtain the equation of this line in slope-intercept form:

$y = -5$ .

The $x$ -term was eliminated because the slope was zero.

6 0

2 years ago

Answer this as quick as possible please! (NO EXPLANATION REQUIRED!) <3

shtirl [24]

Answer: 9 Apples

Step-by-step explanation:

Given the following :

Total number of bags = 12

Mean of the distribution(m) = 8

Number of apples (x):

6 - - - - 7 - - - - 8 - - - - 9 - - - - 10

Frequency (f) :

1 - - - - 4 - - - - 2 - - - - 3 - - - - 1

Therefore :

Let number of apples in the 12th bag = y

Frequency of 12th bag : (12 - 11) = 1

Mean of distribution(m) :

Sum of ( f * x) / sum of f

Sum of (f * x) = (6*1)+(7*4)+(8*2)+(9*3)+(10*1)+(y*1)

Sum of (f * x) = (6+28+16+27+10+y) = 87 + y

Sum of f = 12

From :

m = Sum of ( f * x) / sum of f

8 = (87 + y) / 12

87 + y = 12 * 8

87 + y = 96

y = 96 - 87

y = 9

Number of apples in 12th bag is 9 apples

6 0

3 years ago