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Lapatulllka [165]
3 years ago
9

|2x-1|=10 find the solution

Mathematics
1 answer:
zalisa [80]3 years ago
4 0

Answer:

the solution is 2x

Step-by-step explanation:

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given that BD is the median of ABD and that ABD is isosceles congruence postulate SSS can be used to prove which of the followin
Alja [10]

It is given in the question that

BD is the median. So it divides the opposite sides in two equal parts .

Therefore in triangles BAD and BCD,

AB and AC are congruent because of isosceles triangle.

AD and CD are congruent because of the median BD.

And BD and BD are congruent .

So the two triangles are congruent by SSS and the correct option is the first option .

3 0
3 years ago
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P(A)=.50 P(B)=.40, and P(A and B) = .15 what is P(a and B)
seropon [69]

Answer:

0.75

Step-by-step explanation:

3 0
3 years ago
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A box is being created out of a 15 inch by 10 inch sheet of metal. Equal-sized squares are cutout of the corners, then the sides
ivolga24 [154]

Answer:

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

Step-by-step explanation:

Given that,

A box is being created out of a 15 inches by 10 inches sheet of metal.

The length of the one side of the squares which are cut out of the each corners of the metal sheet be x.

The length of the metal box be = (15-2x) inches.

The width of the metal box be =(10-2x) inches

The height of the metal box be =x inches

Then, the volume of the metal box= length×width×height

                                                         =(15-2x)(10-2x)x cubic inches

                                                         =(150x-50x²+4x³) cubic inches

∴ V= 4x³-50x²+15x

Differentiating with respect to x

V'=12x²-100x+15

Again differentiating with respect to x

V''=24x-100

For maximum or minimum value, V'=0

12x²-100x+15=0

Apply quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=12, b= -100 and c=15

x=\frac{-(-100)\pm\sqrt{(-100)^2-4.12.15}}{2.12}

\Rightarrow x=\frac{100\pm\sqrt{9280}}{2.12}

\Rightarrow x=0.1528,8.18

For x= 8.18, The value of (15-2x) and (10-2x) will negative.

∴x=0.1528 .

Now, V''|_{x=0.1528}=24(0.1528)-100

∴At x=0.1528 inch, the volume of the metal box will be maximum.

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

4 0
3 years ago
What is the unit value of the 6 in 216?
eduard
The 6 is in the ones place the 1 is in the tens place and the 2 is in the hundreds place.
8 0
3 years ago
Ayuda en este cripto-dichos
Cerrena [4.2K]
Ooo I don’t speak that language
6 0
3 years ago
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