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3 years ago

IN THE FIGURE 5.24 TO THE RIGHT ABCD IS A RHOMBUS.SHOW THAT AC IS THE BISECTOR OF <BAD.

Mathematics

1 answer:

Inessa05 [86]3 years ago

4 0

In any rhombus, the four sides are the same length.

Because of this, we know that

AD = AB
CD = BC

Furthermore, AC = AC due to the reflective property

Those three facts then allow us to prove triangle ACD is congruent to triangle ACB through the SSS congruence property. Then from CPCTC, we then know that angle DAC = angle BAC, which is enough to show that AC bisects the angle shown. The term "bisect" means "cut in half".

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The price of jeans was reduced $7 per week for 4 weeks. By how much did the price of the jeans change

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Answer:

$28

Step-by-step explanation:

The rate the jeans are reduced is $7 every week, if this continues for 4 weeks the total price of reduction for the jeans can be calculated by doing $7 x 4= $28.

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3 years ago

How many solutions are in 17x-8=3x+16

Marat540 [252]

There is only one solution that satisfies the equation.
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2 years ago

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Factor of 9x2 18x + 8? Factor of 9x^2-18x+8

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3 years ago

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sixteen men working 9 hrs a day can complete a pice of work in 14 days .How many more men working 7 hrs a day would complete the

nordsb [41]

Answer:

8 more men are needed to complete the job

Step-by-step explanation:

Proportions

This problem can be solved by step-by-step reasoning applying proportions:

16 men working 9 hrs a day complete the job in 14 days
16 men working 1 hr a day complete the job in 14*9 days

The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.

1 man working 1 hr a day complete the job in 14*9*16 days

The same reasoning applies here, fewer men=more days.

Now for the second condition. Increase the hours/day:

1 man working 7 hrs a day complete the job in 14*9*16/7 days

More hours/day=less days to complete the job

x men working 7 hrs a day complete the job in 14*9*16/(7*x) days

We know this last time is 12 days, thus:

$\displaystyle 12=\frac{14*9*16}{7*x}$

Solving for x:

$\displaystyle x=\frac{14*9*16}{7*12}=\frac{2016}{84}=24$

24 men are needed now, this is an increase of 24-16=8 more men

8 more men are needed to complete the job

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3 years ago

-4(6x+3)= -12(x+ 10)

Lilit [14]

Answer:

Step-by-step explanation:

-4(6x+3)= -12(x+10)

Let's do the first part:

-4(6x+3)

**distribute**

-4 x 6x = -24x; -4 x 3 = -12 ->>> -24x - 12

Let's do the second part:

-12(x+10)

**distribute**

-12 x x = -12x; -12 x 10 = -120 ->>> -12x -120

-24x -12 = -12x - 120

**Move variable to the left-hand side and change its sign**

-24x +12x -12 = -120

-12x - 12 = -120

-12x = 108

x = 108/-12

x=9

3 0

4 years ago

IN THE FIGURE 5.24 TO THE RIGHT ABCD IS A RHOMBUS.SHOW THAT AC IS THE BISECTOR OF <BAD.​

IN THE FIGURE 5.24 TO THE RIGHT ABCD IS A RHOMBUS.SHOW THAT AC IS THE BISECTOR OF <BAD.