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bija089 [108]
3 years ago
6

Three billion, four hundred million years old. Write in standard form and expanded form.

Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0
3,400,000,000 3,000,000,000+400,000,000
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In the figure CD is the perpendicular bisector of AB . If the length of AC is 2x and the length of BC is 3x - 5 . The value of x
Dennis_Churaev [7]

Answer

Find out the value of x .

To proof

SAS congurence property

In this property two sides and one angle of the two triangles are equal.

in the Δ ADC and ΔBDC

(1) CD = CD (common side of both the triangle)

(2) ∠CDA = ∠ CDB = 90 °

( ∠CDA +∠ CDB = 180 ° (Linear pair)

as given in the diagram

∠CDA  = 90°

∠ CDB = 180 ° - 90°

∠ CDB = 90°)

(3) AD = DB (as shown in the diagram)

Δ ADC ≅ ΔBDC

by using the SAS congurence property .

AC = BC

(Corresponding sides of the congurent triangle)

As given

the length of AC is 2x and the length of BC is 3x - 5 .

2x = 3x - 5

3x -2x =5

x = 5

The value of x is 5 .

Hence proved


7 0
3 years ago
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The ratio of white chocolate to dark chocolate sold at a candy shop was 4 : 3. If there were 20 bars of white chocolate sold, ho
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Answer:

15

Step-by-step explanation:

if the white chocolate is the 4 you would need to multiply it by 5 to get 20 so if u multiply 3 by 5 you get 15 hope this helps :)

5 0
3 years ago
What is 692,004 in expanded form
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I think that's how you write it.
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Which matrix represents the system of equations shown below? 2x-y=-6 and x-6y=13​
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Answer: D

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

The first matrix contains the coefficients of the x- and y- values for both equations (top row is the top equation and the bottom row is the bottom equation. The second matrix contains what each equation is equal to.

\begin{array}{c}2x-y\\x-6y\end{array}\qquad \rightarrow \qquad \left[\begin{array}{cc}2&-1\\1&-6\end{array}\right] \\\\\\\begin{array}{c}-6\\13\end{array}\qquad \rightarrow \qquad \left[\begin{array}{c}-6\\13\end{array}\right]

The product will result in the solution for the x- and y-values of the system.

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3 years ago
She determined that the food court is at point (1, 1), the restrooms are at point (4, 3), the candy shop is at point (-6, 1), th
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B) the food court and the boutique.   &
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