Ac and bd are perpendicular bisectors of each other. adc. Find eab

Answers

Answer 1

Answer: Let ∠ ADC = 2β

Ac and BD are perpendicular bisectors of each other ⇒⇒ (Given information)

∴ BD bisects the angle ADC
∴ ∠ADE = 0.5 ∠ADC = β

And in ΔADE:
∵∠DEA = 90° ⇒⇒⇒ from the given information
∴∠DAE = 90° - β

And AC bisects ∠DAB ⇒⇒⇒ from the given information
∴∠EAB = ∠DAE = 90° - β

Answer 2

Answer: <EAB = 180 - 90 - (0.5*<ADC)

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Calculate S37 for the arithmetic sequence in which a7 = 25 and the common difference is d=-1.7

Answers

The value of 37th term of the arithmetic sequence will be;

⇒ - 26

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The values are,

⇒ a₇ = 25

And, The common difference is d = -1.7

Now,

Since, The nth term of arithmetic sequence is;

⇒ a(n) = a + (n - 1)d

And, ⇒ a₇ = 25

So, We get;

⇒ a₇ = a + (7 - 1) (- 1.7)

⇒ 25 = a + 6 × - 1.7

⇒ 25 = a - 10.2

⇒ 25 + 10.2 = a

⇒ a = 35.2

So, The 37th term of the arithmetic sequence is;

⇒ a₃₇ = 35.2 + (37 - 1) (- 1.7)

⇒ a₃₇ = 35.2 + 36 × - 1.7

⇒ a₃₇ = 35.2 - 61.2

⇒ a₃₇ = - 26

Thus, The value of 37th term of the arithmetic sequence will be;

⇒ - 26

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Answer:

-26

Step-by-step explanation:

25 is a7. if you subtract 1.7 each time then at 37 the number will be -26.

7h + 10 = 9h + 4

A. h=3

B. h=4

C. h=5

D. h=6

Answers

Answer:

A. h=3

Step-by-step explanation:

soln

7h + 10 = 9h + 4

then you correct like terms together

9h - 7h = 10 - 4

2h = 6

2 2

h = 3

the is A

“In which quadrant would you find point P if the coordinates of P are (–5, ...”Assuming that P is not on an axis, what are the possible answers to this question?
quadrant I or quadrant II
quadrant II or quadrant III
quadrant II or quadrant IV
quadrant III or quadrant IV

Answers

Answer:

quadrant II or quadrant III

Step-by-step explanation:

Quadrants are numbered I to IV in the counterclockwise direction, starting with upper right. Quadrants II and III are to the left of the y-axis, where x-coordinates are negative.

Answer:

B - quadrant ll or quadrant lll

Step-by-step explanation:

Got it right on edge

Also I ain’t never seen two pretty best friends

A trapezoid has an area of 60 square inches. The height of the trapezoid is 5 inches. What is the length of the longer base if the longer base is three times the length of the shorter base?

Answers

Answer:

Step-by-step explanation:

Remark

Let the shorter base = x

Let the longer base = 3x

h = 5

Area = 60

Formula

Area = (b1 + b2)*h /2

Solution

60 = (x + 3x)*5 / 2 Multiply both sides by 2

2*60 = (x + 3x)*5 Combine like terms

120 = 4x *5

120 = 20x Divide by 20

120/20 = x

x = 6

Therefore the two bases are

x = 6

3x = 18

Answer:

Step-by-step explanation:

Will Mark Brainlest help please

Answers

Answer:

g(-1 )=-1 and g(2)+g(1)=7

Step-by-step explanation:

If g(x) = x^3+x^2-x-2 find g(-1)

if we find g(-1)

we substitute all the x's in the function with -1

-1^3+-1^2-(-1)-2

-1^3 = -1

-1^2 = 1

-1+1+1-2

(two minuses make a plus)

-1+1 = 0

0+1 = 1

1-2 = -1

if x=-1, g(-1) is -1

g(2)+g(1)

substitute the x's in the function with 2 and 1 and add your results

2^3+2^2-2-2

2^3 = 8, 2^2 = 4

8+4-2-2

8+4= 12, 12-2 = 10, 10-2 = 8

g(2)=8

g(1) now

1^3 + 1^2-1-2

1^3=1, 1^2 = 1

1+1-1-2

1+1 = 2, 2-1 = 1, 1-2 = -1

g(3) = -1

g(2) (which equals 8) + g(3) (which equals -1) =

8+(-1) = 7

g(2)+g(3)=7

The owner of a fabric store has determined that the profits P of the store are approximately given by P(x) = -x^2 + 70x+67, where x is the yards of fabric sold daily. Find the maximum profit to the nearest dollar. a) $617 b) $792 c) $1017 d) $1292 e) none