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astraxan [27]
3 years ago
12

1) work out the size of angle x 2) give reasons for your answer

Mathematics
1 answer:
MaRussiya [10]3 years ago
8 0
80 degrees. Angle CBD and angle BFH are corresponding so they are equal. Angles on a straight line add up to 180 degrees. 180-100=80
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What is the solution to the inequality?
iVinArrow [24]

Answer:

B. x > 4

Step-by-step explanation:

12 < 8 + x

12-8 < 8-8 +x

12-8 < x

4 <x

x > 4

7 0
2 years ago
Pls help me not fail
nignag [31]

Answer:

D

Step-by-step explanation:

Using the Cosine rule to find AC

AC² = BC² + AB² - (2 × BC × AB × cosB )

      = 18² + 12² - ( 2 × 18 × 12 × cos75° )

      = 324 + 144 - 432cos75°

      = 468 - 111.8

      = 356.2 ( take the square root of both sides )

AC = \sqrt{356.2} ≈ 18.9

-----------------------------------------

Using the Sine rule to find ∠ A

\frac{18}{sinA} = \frac{18.9}{sin75} ( cross- multiply )

18.9 sinA = 18 sin75° ( divide both sides by 18.9 )

sinA = \frac{18sin75}{18.9} , then

∠ A = sin^{-1} ( \frac{18sin75}{18.9} ) ≈ 66.9°

4 0
3 years ago
Explain why f(x) = x2+4/x2-x-2 is not continuous at x = 2.
xxTIMURxx [149]

Answer: Option a.

Step-by-step explanation:

 Make the denominator equal to zero and solve for x:

Factor the quadratic equation. Find two number whose sum is -1 and whose product is -2. Then:

x^{2}-x-2=0\\(x-2)(x+1)=0\\x=2\\x=-1

Then, as you can see the value x=2 makes the denominator equal to zero and the division by zero does not exist. Therefore you can conclude that the function shown in the problem is not defined at x=2

The answer is the option a.

6 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST PLS HELP<br> Will these side lengths make a triangle? 5 yds, 6 yds, 5 yds
Elina [12.6K]

Answer:

Yes!

Let the height of the triangular shaped garden be h yards. Its base would then be 5+h yards.Step-by-step explanation:

4 0
3 years ago
The equation of a circle in general form is ​ x2+y2+22x+14y−55=0 ​ . What is the equation of the circle in standard form?
ra1l [238]
x^2+y^2+22x+14y-55=0 \\\\x^2+22x+y^2+14y=55\\\\(x^2+22x+121)-121+(y^2+14y+49)-49=55\\\\(x+11)^2+(y+7)^2-121-49=55\\\\&#10;(x+11)^2+(y+7)^2-170=55\\\\(x+11)^2+(y+7)^2=55+170\\\\\boxed{(x+11)^2+(y+7)^2=225}

Answer B.
4 0
3 years ago
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