Which relationship is always true for the angles x, y, and z of triangle ABC? (4 points)

x + z = y

y + z = x

x + y + z = 180 degrees

x + y + z = 90 degrees

Answer:

The variable is y

The coefficient is 4

The constant is 18

Answer:

1. y

2. 4

3. 18

..............

Answer: x = -3

Step-by-step explanation:

2y + x = -15

y = 2x

2y = 2(2x) = 4x

4x + x = -15

5x = -15

x = -3

Answer:

y = x + 1

Step-by-step explanation:

find slope first:

(4-2) / (3-1) = 2/2 or 1

now find the y-intercept, or 'b' by using one of the two given points and the slope

2 = 1(1) + b

2 = 1 + b

1 = b

equation in slope-intercept form:

y = 1x + 1  or  y = x + 1

Answer:

3.6cm

Step-by-step explanation:

YZ = 10² - 6² = 8

sinX = 8/10 = 53.13º

cos 53.13º = XN/6

XN = 3.6cm

Answer:

[tex] \underline{ \underline{ \red{ \large {\tt{✧ G \: I \: V \: E \: N}}} }}: [/tex]

[tex] \underline{ \underline{ \purple{ \large{ \tt{✧ T \: O \: \: F\: I\: N\: D}}}}} : [/tex]

[tex] \underline{ \underline{ \pink{\large {\tt{✧ S \: O \: L \: U\: T\: I \: O\: N}}}} }: [/tex]

In rt. XYZ :

Using Pythagoras theorem:

[tex] \large{ \sf{p = \sqrt{ {h}^{2} - {b}^{2} } }}[/tex]

Plug the values & then simplify!

⇢ [tex] \large{ \sf{YZ = \sqrt{( {10)}^{2} - {(6)}^{2} } }}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{100 - 36}}}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{64}}} [/tex]

⇢ [tex] \large{ \sf{YZ = 8} \: cm} \: [/tex]

In rt. YNZ ,

Using Pythagoras theorem :

⇾ [tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {8}^{2} - {(10 - x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{ {(10)}^{2} - 2 \times 10 \times x + {(x)}^{2} \} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{100 - 20x + {x}^{2} \}}} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - 100 + 20x - {x}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 20x - {x}^{2} - 36}} \longrightarrow \: eq (i)[/tex]

In rt. XYN ,

Using Pythagoras theorem :

[tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {(6)}^{2} - {(x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 36 - {x}^{2} \longrightarrow \: eq(ii) }}[/tex]

Now , From Equation ( i ) & Equation ( ii )

⤑ [tex] \large{ \sf{20x - {x}^{2} - 36 = 36 - {x}^{2} }}[/tex]

⤑ [tex] \large{ \sf{20x - \cancel{ {x}^{2} } - 36 = 36 - \cancel{ {x}^{2} }}}[/tex]

⤑ [tex] \large{ \sf{20x = 36 + 36}}[/tex]

⤑ [tex] \large{ \sf{20x = 72}}[/tex]

⤑ [tex] \large{ \sf{x = 3.6}}[/tex] cm

Hence, The length of XN is [tex] \large{ \boxed{\red{ \bold{ \tt{3.6 \: cm}}}}}[/tex]

[ Correct me if I am wrong ]

♨ Hope I helped! ♡

♪ Have a wonderful day / night ! ☃

☥ [tex] \underbrace{ \overbrace{{ \mathfrak{Carry \: On \: Learning}}}}[/tex] ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

He made a mistake in his calculations when simplifying 5x - 2y

Step-by-step explanation:

Given

The coordinate pair

[tex](x,y) = (2,-2)[/tex]

The equations

[tex]7x + 9y = ?[/tex]

[tex]5x - 2y = ?[/tex]

Dimitri's Solution

[tex]Equation\ 1: 7x + 9y = -4.[/tex]

[tex]7(2) + 9 (-2) = -4.[/tex]

[tex]14 + (-18) = -4.[/tex]

[tex]-4 = -4.[/tex]

[tex]Equation\ 2: 5x -2y = 6.[/tex]

[tex]5(2) - 2 (-2) = 6.[/tex]

[tex]10 - 4 = 6.[/tex]

[tex]6 = 6.[/tex]

Required

Identify Dimitri’s mistake

In the first equation, Dimitri made no mistake.

However, he made a mistake when simplifying the second equation.

We have:

[tex]5x - 2y[/tex]

and

[tex](x,y) = (2,-2)[/tex]

Substitute [tex]x = 2[/tex] and [tex]y = -2[/tex]

So, we have:

[tex]5(2) -2(-2)[/tex]

Open bracket

[tex]10 +4[/tex]

Finally, we have:

[tex]14[/tex]

Answer:

slope of the line(m) =(y2-y1)/(x2-x1)

or, m=(16-10)/(6-3)

or, m=6/3

So, m=2

Answer:

15% off of $34.99 equals $29.74

Step-by-step explanation:

the discount she receives should be

$34.99-$29.74= $5.25

Answer:

18

Step-by-step explanation:

Multiples of 6: 6, 12, 18, etc.

Multiples of 9: 9, 18, etc.

the least common multiple here is 18

Answer:

Example: 9 and 12

Step-by-step explanation:

9: 9, 18, 27, 36, 48, 54, 63, 72..

12: 12, 24, 36, 48, 60, 72

36 is the first number that occurred in both list, so 36 is the least common multiple of 9 and 12

Answer:

The area of the SHADED region is 21 cm.²

Step-by-step explanation:

The area of the SHADED region is the difference between the area of the entire figure and the area of the UNSHADED region

The shape of the UNSHADED region is a rectangle

The area of a rectangle, A = The length × The width

∴ The area of the UNSHADED region, A = 1 cm × 4 cm = 4 cm²

The area enclosed by the entire figure is in the shape of a square

The area of a square s similar to the area of the rectangle, but because a square has equal side length, the area of a square, A = Side length × Side length

Therefore, the area enclosed by the entire figure = 5 cm × 5 cm = 25 cm²

The area of the SHADED region = The area enclosed by the entire figure - The area of the UNSHADED rectangular figure inside

That is the area of the SHADED region = 25 cm² - 4 cm² = 21 cm².

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of cylinder=pir^h

420={22/7×6×6]h=792/7h=113.14h

h=420/113.14

h=3.712

Answer:

[tex]Median = 13[/tex]

Step-by-step explanation:

Given

See attachment for dot plot

Required

The center of data

This implies that, we calculate the median

From the attached plot,

[tex]n = 13[/tex] --- number of observation

So, the median is:

[tex]Median = \frac{n + 1}{2}[/tex]

[tex]Median = \frac{13 + 1}{2}[/tex]

[tex]Median = \frac{14}{2}[/tex]

[tex]Median = 7th[/tex]

The median is at the 7th position

At the  7th position, is 13

Hence:

[tex]Median = 13[/tex]

Answer:

i think it would be 13?

Step-by-step explanation:

just guessing but im pretty sure its 13

Answer:

Step-by-step explanation:

Welllllll.....

If you take the square root of 9, it's 3

if you take the square root if 16, it's 4

I would guess it to be about 3.2

Answer:

Step-by-step explanation:

Lily ,  we know that [tex]3^{2}[/tex] =9  and [tex]4^{2}[/tex] = 16  so we know that  [tex]x^{2}[/tex] = 10  , where 10 is an answer to x squared,  then X lies between 3 and 4   ,  see?  

Answer:

The answer is D. = 0.99

Answer:

Number of flowers required = 1256

Step-by-step explanation:

Circumference of a circle is given by the formula,

Circumference = 2πr

Here, r = radius of the circle

For a circle with radius = 100 in.

Therefore, circumference = 2π(100)

                                           = 200π

                                           = 628.32 ft

Distance between each flower = 6 in

                                                   ≈ [tex]\frac{6}{12}[/tex]

                                                   = 0.5 ft

Number of flowers = [tex]\frac{\text{Circumference}}{\text{Space between each flower}}[/tex]

                               = [tex]\frac{628.32}{0.5}[/tex]

                               = 1256.63

                               ≈ 1256

Therefore, number of flowers required = 1256

Answer:

b.........................

Answer:

D.

Step-by-step explanation:

bahahahhaa

Hey karlieeeeeeeeeeeeee XD

Answer: The Range is 11

The Q2 is 8

The Interquartile range is 8

Answer:

she has 2.5 minutes per question

90 ÷ 36 = 2.5

Step-by-step explanation:

Answer:

The answer is 2.5 minutes per second

Step-by-step explanation:

you divide 90 to 36 and it will give you 2.5

Answer:

4x³

Step-by-step explanation:

4 * x * x * x

4 * x² * x

4 * x³

4x³

Simply multiply, that's all that's needed.

Answer:

popcorn is 5.5 and drink is 4

Step-by-step explanation:

It just is my g

Hi!

x² = 11,2² - 8,5²

x² = 125,44 - 72,25

x² = 53,19 |√

x ≈ 7,3

Answer:

Step-by-step explanation:

p[p

Answer: 34%

Step-by-step explanation:

(Trust me)

Answer:

Yes

Step-by-step explanation:

The two objects are plotted at different points in graph and one gets the difference of points y coordinates (change in y) and change in x too.

Then one can look for distance as hypotenous and change in y as height and change in x as the base of our imaginery triangle.

Therefore, from Pythagoras Theoreom:

hyptenous² = height² + base²

Distance² = change in y² + change in x²

Distance = √change in y² + change in x²

Answer:

de goes with bc ab goes with fd and angle f is angle A and angle d is angle B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C) (x,y) → (x,y+6)

Step-by-step explanation:

As the x value stays the same after the transformation, we know that there can be no changes to the value x, automatically limiting the options to answer C.

The mathematical way to find the value y is changed by would be by setting up a small equation as follows:

[tex]8 = 2 + n[/tex], where n is some number that the y value is altered by.

Solving for n gives the value 6, proving that the translation must add 6 to the y value.