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2 years ago

I need to solve for X Y and Z please and thank you

Mathematics

1 answer:

erastovalidia [21]2 years ago

4 0

9514 1404 393

Answer:

x = 5
y = 30
z = 8

Step-by-step explanation:

The rhombus has several relevant properties.

The sides are all the same length
Diagonals are perpendicular bisectors of each other
Diagonals divide the rhombus into congruent triangles

The last of these relations can be used to find x:

7x° = 35°

x = 35°/7° = 5

The second of the relations can be used to find y:

3y° = 90°

y = 90°/3° = 30

The first of the relations can be used to find z:

10z -8 = 5z +32

5z = 40 . . . . . . . . . add 8-5z

z = 40/5 = 8

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Answer:

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Step-by-step explanation:

basically you're testing which set adds up to 180°:

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2 years ago

Which value of y will make the inequality y<-1 false

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3 years ago

Read 2 more answers

1.the graph of y = x² is moved five units upward

KonstantinChe [14]

Answer:

I guess that we want to find the equation for each case.

First, let's define the translations:

Horizontal translation.

For a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Now that we know these, we can find the equations for each case:

1. the graph of y = x² is moved five units upward

the graph is given by a vertical translation of 5 units upward.

y = x^2 + 5

2 the graph of y = 5x² is moved six units to the left

this is:

y = 5*(x + 6)^2

3: the graph of y = -2x² is moved seven units downward

this is:

y = -2x^2 - 7

4: the graph of y = -x² is moved two units to the left and four units downward

now we have two translations, first 4 units to the left and then 4 units downwards, this gives:

y = -(x + 4)^2 - 4

5: the graph of y = -3x² is moved two units to the right

Remember that to move the graph to the right, we need to have N negative, then:

y = -3(x - 2)^2

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2 years ago

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule repres

Nataly [62]

Answer:

The translation statement is given by:

$(x,y)\rightarrow (x+1,y+2)$

After the translation, the coordinates of vertex A is (-2,6).

Step-by-step explanation:

Given :

Vertices of a triangle ABC are:

A(−3, 4), B(4, −2), C(8, 3)

The triangle is translated 2 units up and 1 unit right.

To find the co-ordinates of point A after translation.

Translation rules.

For shift of $c$ units up, the translation is given as:

$(x,y)\rightarrow (x,y+c)$

For shift of $k$ units right, the translation is given as:

$(x,y)\rightarrow (x+k,y)$

So, it says the triangles is translated 2 units up and 1 unit right.

The translation statement is given by:

$(x,y)\rightarrow (x+1,y+2)$

So, co-ordinates of point A after translation is given by :

$(-3,4)\rightarrow (-3+1,4+2)=(-2,6)$

After the translation, the coordinates of vertex A is (-2,6).

4 0

3 years ago

P^2 - 17p + 72 factor the trinomial. enter smaller number first ? answer (p+?)(p+?)

klio [65]

Answer:

(p - 8)(p - 9)

Step-by-step explanation:

We need 2 numbers whose product is + 72 and whose sum = -17.

They are -8 and -9

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3 years ago