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djverab [1.8K]
3 years ago
5

Please help, question is in photo below, about finding angles.AWARDING MORE POINTS

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
3 0

Step-by-step explanation:

(2x + 23) + (9x - 5) = 11x + 18 \\ 11x + 18 = 95 \:  \:  \:  \: 11x = 77 \\ x = 7 \\ abd = (2 \times 7) + 23 = 37 \\ dbc = (2 \times 9) - 5 = 13

Taya2010 [7]3 years ago
3 0

Answer:

x=7

m<ABD=37°

m<DBC=58°

Step-by-step explanation:

Add the two equations.  They need to equal 95.  Solve for x.

(2x+23)+(9x-5)=95

11x+18=95

11x=95-18

11x=77

x=7

Substitute 7 in for x to both equations to solve for the angle degrees.

m<ABD=2x+23 = 2(7)+23 = 14+23 = 37

m<DBC=9x-5 = 9(7)-5 = 63-5 = 58

CHECK: 37+58=95

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One side of a right triangle is 8 cm shorter than the hypotenuse and 7 cm shorter than the third side. Find the lengths of the s
Reptile [31]

Answer:

5 cm

Step-by-step explanation:

Let the shorter side be a, longer side be b, hypotenuse be c

By Pythagorean theorem:

a² + b² = c²

a² + (a + 7)² = (a + 8)²

a² + a² + 14a + 49 = a² + 16a + 64

a² - 2a - 15 = 0

a² + 3a - 5a - 15 = 0

a(a + 3) - 5(a + 3) = 0

(a + 3)(a - 5) = 0

a = -3 or a = 5

Because a is a side length and is a positive number

a = 5

7 0
3 years ago
A seagull has a vertical position a, and a shark has a vertical position b. Draw and label a point on the vertical axis to show
notsponge [240]

Answer:

Image attached

Step-by-step explanation:

The question asks to represent the position of two animals in a the cartesian coordinates plane. This is two perpendicular axis, the y-axis is the vertical one and the x-axis is the horizontal one. The animals are represented by dots, called a for the seagull and b for the shark.

Since the y-axis is the vertical axis and they ask to draw the points with a verical difference between them, we will draw the points in it.

Say the x-axis represents the sea surfice. The seagull would be over the sea, and the shark under the sea surfice (under x-axis).

This is the resulting drawing

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4 years ago
Part B The mass of an average grain of rock salt is about 40 times the mass of an average grain of table salt. If you multiply t
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Answer: Its (A)

Step-by-step explanation:

6 0
2 years ago
Solve for me pls :)
I am Lyosha [343]

Answer:

<h2>f(19) =  -  \frac{27}{7}  \\</h2>

Step-by-step explanation:

f(x) =  \frac{3}{x + 2}  -  \sqrt{x - 3}  \\

To find f(19) , substitute the value of x that's 19 into f(x). That is for every x in f (x) replace it with 19

We have

f(19) =  \frac{3}{19 + 2}  -  \sqrt{19  - 3}  \\  =  \frac{3}{21}  -  \sqrt{16}  \\  =   \frac{1}{7}  - 4 =  \frac{1 - 28}{7}

We have the final answer as

f(19) =  -  \frac{27}{7}  \\

Hope this helps you

8 0
3 years ago
A rectangular room is 1.2 1.2 times as long as it is wide, and its perimeter is 35 35 meters. Find the dimension of the room.
Westkost [7]

Answer:

I. Length, L = 9.552 meters

II. Width, W = 7.96 meters

Step-by-step explanation:

Let the length = L

Let the width = W

Given the following data;

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Translating the word problem into an algebraic equation, we have;

Length = 1.2W

To find the dimension of the room;

The perimeter of a rectangle is given by the formula;

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Substituting into the formula, we have;

35 = 2(1.2W + W)

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Next, we would find the length of the rectangle;

L = 1.2*W

L = 1.2 * 7.96

Length, L = 9.552 meters

6 0
3 years ago
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