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3 years ago

ZABD and ZDBC are supplementary angles.

Mathematics

2 answers:

sukhopar [10]3 years ago

7 0

Answer:

Solution given:

x+100=180°{linear pair}

x=180-100

x=80

Lilit [14]3 years ago

4 0

Answer:

x = 80

Step-by-step explanation:

<ABD and <DBC

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In the standard x,y plane, a circle has a radius 6 and center (7, 3). The circle intersects the x-axis at (a, 0) and (b, 0). Wha

arsen [322]

Answer: The required value of a+b is 14.

Step-by-step explanation: Given that in the standard xy plane, a circle has a radius 6 and center (7, 3).

The circle intersects the x-axis at (a, 0) and (b, 0).

We are to find the value of a+b.

We know that

the standard equation of a circle with center at (h, k) and radius r units is given by

$(x-h)^2+(y-k)^2=r^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

For the given circle, we have

(h, k) = (7, 3) and r = 6 units.

So, from equation (i), we get

$(x-7)^2+(y-3)^2=6^2\\\\\Rightarrow (x-7)^2+(y-3)^2=36~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Since the circle (ii) passes through the points (a, 0) and (b, 0), so let the point be denoted by (c, 0), then we have

$(c-7)^2+(0-3)^2=36\\\\\Rightarrow (c-7)^2+9=36\\\\\Rightarrow (c-7)^2=27\\\\\Rightarrow c-7=\pm3\sqrt3~~~~~~~~~~~~~~~~~~~~~~[\textup{Taking square root on both sides}]\\\\\Rightarrow c=7\pm3\sqrt3$

Therefore, we get

$a=7+3\sqrt3,\\\\b=7-3\sqrt3.$

That is,

$a+b=(7+3\sqrt3)+(7-3\sqrt3)=14.$

Thus, the required value of a+b is 14.

4 0

3 years ago

Help me please i need to do this because it’s a major grade please help

san4es73 [151]

Answer:

The right side is bigger than the left side

Step-by-step explanation:

for the fraction on the left, -12/4 is -3 and plus 8 is 5. on the other side -5 - (-14) the negative on the -14 has another negative, so two negatives make a positive making the simpler equation -5 + 14 which equals 9.

6 0

3 years ago

Q = (√x-5)² + (√x+4)-41

kicyunya [14]

Answer:

. .

Step-by-step explanation:

x^2-9x√x-12

solve by using formula (a+b)^2 and open the brackets

6 0

3 years ago

Read 2 more answers

Cindy is designing a rectangular fountain in the middle of a courtyard. the rest of the courtyard will be covered in stone. The

vovikov84 [41]

Http://prntscr.com/anjj1k

I saw the image that should accompany the above problem.

Courtyard: Length=22 ft; Width = 12 ft
Fountain: Length = 6 ft; Width = ?

Area of the courtyard = 22 ft * 12 ft = 264 square feet
Part of the courtyard covered with stone has an area of 246 square feet.

Area of the fountain = 264 square feet - 246 feet = 18 square feet.

A) Width of the fountain.
Area of the fountain = Length * width
18 square feet = 6 ft * w
18 sq.ft / 6ft = w
3 ft = width

B.) Fraction of the area of the courtyard will be occupied by the fountain.

Area of the fountain: 18 square feet
Area of the courtyard: 264 square feet

18/264 = 3/44

18 ÷ 6 = 3
264 ÷ 6 = 44

6 0

4 years ago

3x/4 =6<br> Please help me ASAP (:

ohaa [14]

Answer:

x=8

Step-by-step explanation:

3x/4=6

3x=4*6

3x=24

x=24/3

x=8

hope this helps!

3 0

3 years ago