0 (2 + 3) + 42 x (5 – 3) = What Does this equal

Mathematics

1 answer:

antoniya [11.8K]3 years ago

8 0

Answer:

Step-by-step explanation:

lets jump right into this

0 (2 + 3) 0(5) =0

42 x (5 – 3) 42 x (2) =84

first we separate and solve

then we plug back in and get 0 + 84 = 84

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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
<span>applying the Pythagorean theorem in triangle ABC
</span>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