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polet [3.4K]
3 years ago
9

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Complete the proof. Below is a drag and drop geometric proof. Complete the proof in your notebook. Choose from these possible answers: Given YZ UV

Mathematics
2 answers:
Marizza181 [45]3 years ago
8 0

YZ || UV - Given

YXZ = VXU - Vertical triangles =

YZV = UVZ - If lines ||, alternate internal triangles =

XYZ ~ XUV - AA

XY/XU = YZ/UV - Definition of Similar Polygons

Paha777 [63]3 years ago
6 0

Step-by-step explanation:

∠YXZ and ∠VXU are vertical angles, and therefore are congruent.

<em>∠YXZ ≅ ∠VXU, Vertical ∠'s ≅</em>

Next, we're given that lines YZ and UV are parallel.  That means that ∠YZV and ∠UVZ are alternate interior angles, and therefore congruent.

<em>∠YZV ≅ ∠UVZ, If lines ||, then alternate interior ∠'s ≅</em>

If two triangles have two pairs of congruent angles, then the third pair must also be congruent, making the two triangles similar.

<em>△XYZ ~ △XUV, AA</em>

Since the triangles are similar, then by definition, their sides are proportional.

<em>XY/XU = YZ/UV, Definition of Similar Polygons</em>

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Find x<br><br> A <br> 4 <br> B <br> 4/2 <br> C<br> 4/3<br> D <br> 8/3
kaheart [24]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Each packet of the cooking oil weighs 2/5th of a kilogram and one kilogram of the cooking oil costs $6.5. Sara went to the groce
Reika [66]

Answer:

C) $20.80

Step-by-step explanation:

1 kg of cooking oil = $6.5

1 packet of cooking oil =2/5 kg

If 1 kg of cooking oil = $6.5

2/5kg of cooking oil = $X

Cross Multiply

1kg × $X = 2/5kg × $6.5

$X = 13/5

$X = 2.6

Hence 2/5kg of oil cost $2.6

Since 1 packet of oil = 2/5kg of oil , 1 packet of oil cost $2.6

The amount she spent if she bought if she bought 8 packets of the cooking oil is calculated as:

1 packet of oil = $2.6

8 packets of oil =

$2.5 × 8

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Therefore,if Sara bought 8 packets of oil, the amount she would spend = $20.80

7 0
3 years ago
Derivative of these questions<br>​
shtirl [24]

Answer:  \bold{y'=\dfrac{1}{2(a-b)^2}\bigg(\dfrac{1}{\sqrt{x+a}}+\dfrac{1}{\sqrt{x+b}}\bigg)}

<u>Step-by-step explanation:</u>

y=\dfrac{1}{\sqrt{x+a}-\sqrt{x+b}}\\\\\\\text{Rationalize the denominator:}\\y=\dfrac{1}{\sqrt{x+a}-\sqrt{x+b}}\bigg(\dfrac{\sqrt{x+a}+\sqrt{x+b}}{\sqrt{x+a}+\sqrt{x+b}}\bigg)\\\\\\y=\dfrac{\sqrt{x+a}+\sqrt{x+b}}{x+a-x-b}\\\\\\y=\dfrac{\sqrt{x+a}+\sqrt{x+b}}{a-b}\\\\\\\text{Apply the derivative (derivative of the numerator (top) divided by the}\\\text{denominator (bottom) squared).}

\text{Derivative of }\sqrt{x+a}\quad \rightarrow \quad (x+a)^{\frac{1}{2}}\quad = \quad \dfrac{1}{2}(x + a)^{-\frac{1}{2}}\\\\\text{Derivative of }\sqrt{x+b}\quad \rightarrow \quad (x+b)^{\frac{1}{2}}\quad = \quad \dfrac{1}{2}(x + b)^{-\frac{1}{2}}\\\\\\\text{Derivative of}\ \dfrac{\sqrt{x+a}+\sqrt{x+b}}{a-b}:\\\\= \dfrac{\dfrac{1}{2}(x + a)^{-\frac{1}{2}}+\dfrac{1}{2}(x + b)^{-\frac{1}{2}}}{(a-b)^2}

\text{Factor out }\dfrac{1}{2}\ \text{from the numerator:}\\\\\dfrac{(x+a)^{-\frac{1}{2}}+(x+b)^{-\frac{1}{2}}}{2(a-b)^2}\\\\\\\text{Move the terms with negative exponents to the denominator:}\\\\=\dfrac{1}{2(a-b)^2}\bigg(\dfrac{1}{\sqrt{x+a}}+\dfrac{1}{\sqrt{x+b}}\bigg)

3 0
3 years ago
Ok, now i need help from 1-5, 20 points
ratelena [41]

1 = 8

2=3+8

3=12

4=9

8 that's it bra



5 0
4 years ago
Someone please help,​
OLga [1]
Will you please show a better picture, or send it on my S n a p faith_armen2019 or i n s t a faith_armen2019
7 0
4 years ago
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