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zhannawk [14.2K]
3 years ago
8

Find each angle??????????????

Mathematics
1 answer:
katovenus [111]3 years ago
7 0

Answer:

<BAC=58°

<CAD=32°

Step-by-step explanation:

15x-2+7x+4=90

22x+2=90

22x=90-2

22x=88

x=88÷22

x=4

<BAC=15x-2=15(4)-2=60-2=58°

<CAD=7x+4=7(4)+4=28+4=32°

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Charlie solved an equation, as shown below:
Alex73 [517]
Part A:  Charlie's answer is incorrect
In step 2 of Charlie's answer he subtracted 5 from each side.  Since 5x is multiplication, he must DIVIDE each side by 5 to get x by itself.  The problem should have worked out like this...

Step 1:  5x = 30
Step 2:  x = 30/5
Step 3:  x = 6

Part B:  There is only 1 solution for this problem.
6 0
3 years ago
the rectangle shown has an area of 105 square inches. the width is x+ 16 inches and the length is x. find the dimensions of the
Brums [2.3K]

Answer:

Length = 5

Width = 21

Step-by-step explanation:

(x)(x + 16) = 105

x^2 + 16x = 105

x^2 + 16x - 105 = 0

(x - 5) x ( x + 21) = 0

x - 10 = 0

x = 5

x + 21 = 0

x = -21

Now that we have the zeroes.

We have to find the most viable one to put in.

Using -21 would not make sense, so we will use 5.

Plug it in:

x = 5

(5) (5 + 16) = 105

5 ( 21) = 105

6 0
3 years ago
who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?
valentina_108 [34]

René Descartes was the person who created analytic geometry and the Cartesian coordinate system

3 0
3 years ago
Write the equation of the line that passes through (-1,4) and parallel to -x + 2y = 6.
NARA [144]

Answer:

make y the subject first

Step-by-step explanation:

y=x/2 +3

parallel lines have equal gradient m1=m2

y-y1=m(x-x1)

y-4=1/2(x-(-1))

y=1/2(x) +1/2+4

final answer

y=1/2(x) +9/2

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3 years ago
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Sophie [7]
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3 years ago
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