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2 years ago

I really need help also if you could expalin it that would help alot! ABC=DBC, AB=10 AC=7 DC=?

Mathematics

2 answers:

tiny-mole [99]2 years ago

5 0

Answer:

Pretty sure DC is also 7.

Step-by-step explanation:

The triangle seems equal on both sides so if AC = 7, then DC = 7.

likoan [24]2 years ago

4 0

Answer:

DC= 7

Step-by-step explanation:

ΔABC≅ΔDBC

AB=DB

BC=BC and

CA=CD

given AB= 10

AC= 7

DC= AC =7

so DC will be 7

hope it helps

have a great day!!

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Help me pls, math is my weak point TwT

Alja [10]

Answer:

I hope this helps

8 0

3 years ago

Listed below are the ACT scores of 40 randomly selected students at a major university. (Use technology if you wish, Excel) 18 1

tiny-mole [99]

Answer:

A) See the picture

B) 14

C) 45%

Step-by-step explanation:

A) To create a histogram like the one on the picture you can use an online tool like socscistatistics where the number of classes is customizable

B) Because the question B and C have to be responded using a frequency table with 8 classes the answer is 14; the method of using cumulative frequency tables should only be considered as a way of estimation, that is because you obtain values that depend on your choice of class intervals. The way to get a better answer would be to use all the scores in the distribution

Pc1 = 100*(4/40) = 10

Pc2 = 100*(4/40) = 10

Pc3 = 100*(3/40) = 7.5

Pc4 = 100*(11/40) = 27.5

Pc5 = 100*(5/40) = 12.5

Pc6 = 100*(4/40) = 10

Pc7 = 100*(7/40) = 17.5

Pc8 = 100*(2/40) = 5

Pc8 + Pc7 + Pc6 + Pc5 + Pc4 + Pc3 + Pc2 = 90%

Therefore, From class 8 to class 2 is the top 90% of the applicants and the minimum score is 14.

C) Scores equal to or greater than 20 are from class 8 to class 5

Pc8 + Pc7 + Pc6 + Pc5 = 45%

5 0

3 years ago

Consider the diagram below. which of the following represents the values x,y and z?

Gemiola [76]

Answer:

$x=4\sqrt{6}\ units$

$y=4\sqrt{2}\ units$

$z=4\sqrt{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

In the right triangle ABD

Applying the Pythagorean Theorem

$x^2=y^2+(12-4)^2$

$x^2=y^2+64$

$y^2=x^2-64$ ----> equation A

step 2

In the right triangle BDC

Applying the Pythagorean Theorem

$z^2=y^2+4^2$

$z^2=y^2+16$

$y^2=z^2-16$ ----> equation B

step 3

In the right triangle ABC

Applying the Pythagorean Theorem

$12^2=x^2+z^2$

$144=x^2+z^2$ ----> equation C

step 4

Equate equation A and equation B

$x^2-64=z^2-16$

$x^2=z^2+48$ -----> equation D

step 5

substitute equation D in equation C

$144=z^2+48+z^2$

solve for z

$2z^2=144-48$

$2z^2=96$

$z^2=48$

$z=\sqrt{48}\ units$

simplify

$z=4\sqrt{3}\ units$

Find the value of x

$x^2=z^2+48$

$x^2=48+48=96$

$x=\sqrt{96}\ units$

$x=4\sqrt{6}\ units$

Find the value of y

$y^2=z^2-16$

$y^2=48-16$

$y^2=32$

$y=\sqrt{32}\ units$

$y=4\sqrt{2}\ units$

3 0

2 years ago

1) 1:6 - 20:24<br>2) 44: 72 = x: 36<br>3) 3:4 = 12:f

otez555 [7]

X=44x36/72
X=22

f=12x4/3
f=16

7 0

2 years ago

At a store, markers are sold in packages of 12 and pens are sold in packages of 8. What is the least amount of markers and pens

liubo4ka [24]

Given:

Markers are sold in packages of 12 and pens are sold in packages of 8.

To find:

Least amount of markers and pens Rick needs to buy to have an equal number of markers and pens

Solution:

To find the least amount of markers and pens, we need to find the LCM of 12 and 8.

Prime factors of 8 and 12 are

$8=2\times 2\times 2$

$12=2\times 2\times 3$

To find the LCM, multiply all factors but the common factors are included only once.

$LCM(8,12)=2\times 2\times 2\times 3$

$LCM(8,12)=24$

Therefore, the least amount of markers and pens Rick needs to buy to have an equal number of markers and pens is 24.

5 0

3 years ago