Is this answer 6?......

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

6 0

Answer: I believe so, putting it in a statement of ____ = _____ should require the statement to be true if you need more help just ask away

Step-by-step explanation:

gayaneshka [121]3 years ago

5 0

Answer:

no, the answer is 10 because they are supplementary lines which equal to 180. So basically 10 takes the place of X when your doing the equation. (shown below) vvvv

Step-by-step explanation:

DE= 8x + 20

EC= 3x + 50

DE= 8(10) +20=100

EC= 3(10) + 50=80

100+80=180

X=10

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-4m + 2n = 6 -4m + n = 8 solve for and x and y steps

hammer [34]

I am doing this problem assuming that you mean to solve for m and n as x and y do not exist in this system of equations.

-4m+2n=6

-4m+n=8

We can see that the coefficient of x for both equations are -4; therefore, elimination with subtraction is possible.

First equation - second equation

n=-2

Then substitude back in to solve for m

-4m+(-2)=8

4m=10

m=5/2

Therefore the answer is

n= - 2

m= 5/2

I hope this helped and if you have any questions please ask.

5 0

3 years ago

In triangle abc, ac=10, bc=8, angle b =90 degrees and angle bda = 90. how long is line bd

WITCHER [35]

The complete question in the attached figure

we know that
applying the Pythagorean theorem in triangle ABC
AC²=AB²+BC²----------> AB²=AC²-BC²---------> 10²-8²-------> AB²=36-----> AB=6

in the triangle ABC
tan a=BC/AB--------> 8/6--------> tan a=4/3
tan c=AB/BC--------> 6/8--------> tan c=3/4

in the triangle ABD
tan a=BD/AD---------> tan a=BD/x-------> BD=x*tan a
BD=x*(4/3)-----------> equation 1

in the triangle BDC
tan c=BD/DC------------------> BD=(10-x)*tan c------> BD=(10-x)*(3/4)
BD=(10-x)*(3/4)-------------> equation 2

equal 1 and 2
x*(4/3)=(10-x)*(3/4)------> 16x=9*(10-x)--------> 16x=90-9x----> 25x=90
x=90/25-----------> x=3.6
BD=x*(4/3)--------> BD=3.6*(4/3)----------> BD=4.8 units

the answer is BD=4.8 units