Step by step how do I find x?

a plant grows at a rate of 4.5 centimeters per week. it is now 12 centimeters tall. suppose that the plant continues to grow at

vredina [299]

It will take an additional 8 weeks to reach a height of 48 centimeters.

y = 4.5x

Since, the maximum height is 48 cm and the plant has already grown 12 cm, we deduct the 12 from 48 to get the additional weeks it needs to grow.

48 - 12 = 4.5x
36 = 4.5x
36/4.5 = 4.5x / 4.5
x = 8 weeks.

7 0

3 years ago

Prove diagonals of a rhombus are perpendicular

Lisa [10]

Answer:

A rhombus is a parallelogram with four congruent sides.

So, all sides of rhombus ABCD are congruent.

i.e, $\overline{JM} \cong \overline{JK} \cong \overline{KL}\cong \overline{LM}$

Also, we know that the diagonals of a parallelogram bisect each other.

Since a rhombus is a parallelogram.

By property of rhombus , if point N is the intersection of the diagonals as shown in the figure, then

$\overline{MN} \cong \overline{NK}$ .....[1]

$\overline{JN} \cong \overline{NL}$

In ΔJNM and ΔJNK

$\overline{MN} \cong \overline{NK}$ [side] [by (1)]

$\overline{JM} \cong \overline{JK}$ [side] [Given]

By reflexive property states that a segment is congruent to itself:

$\overline{JN} \cong \overline{JN}$ [Side] [Reflexive Property]

SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

then by SSS congruence,

$\triangle JNM \cong \triangle JNK$

By CPCT [Corresponding Part of congruent triangles are congruent]

Since, JNM and JNK are corresponding angles therefore,

$\angle JNM \cong JNK$

Linear pair theorem states that two angles that form a linear pair are supplementary.

By linear pair theorem, JNM and JNK are supplementary

this mean:

$m\angle JNM +m\angle JNK =180^{\circ}$

Since, the angles are congruent i.e, $\angle JNM \cong JNK$

so;

$m\angle JNK +m\angle JNK =180^{\circ}$

or

$m\angle JNK +m\angle JNK =180^{\circ}$

2 $m\angle JNK=180^{\circ}$

Simplify:

$m\angle JNK =90^{\circ}$

also; $m\angle JNM =90^{\circ}$

therefore, the diagonals of JKLM are perpendicular to each other i,e $\overline{JL} \perp \overline{MK}$

4 0

3 years ago

Rosa collected 140 coins from different countries. Thirty-six of her coins were from Canada. About what percent of the coins wer

defon

Let's set up a proportion.

36 x
___ ___

140 100

Solve for x

36 x 100 = 3600
3600/140 = about 26%

The answer is C. 26%

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6 0

3 years ago

when you flip a biased coin the probability of getting tails is 0.53 what is the probability of getting heads?

garri49 [273]

Im sorry im
just answering to get points to ask questions

5 0

4 years ago

What is 21x+6 solve for x

mamaluj [8]

Answer:

$x = - \frac{2}{7}$