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3 years ago

Geometry question help please !!

Mathematics

1 answer:

seraphim [82]3 years ago

8 0

Answer:

Think simple.

We already have parallelogram LENS, therefore:

∠L ≅ ∠ENS

We also have parallelogram NGTH, therefore:

∠T ≅ ∠GNH

Finally, we can also see that:

∠ENS ≅ ∠GNH (opposite angles)

=> ∠L ≅ ∠T

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A water well is to be drilled in the desert where the soil is either rock, clay or sand. The probability of rock P(R)equals=0.

GaryK [48]

The tree diagram for the probability is shown below

P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.

This is a case of conditional probability.

The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)

P(Clay∩Positive) = 0.21×0.48 = 0.1008

P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
P(Positive) = 0.5767

Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)

5 0

3 years ago

What is the answer of (2x+6x-8)(2x-6x-3)

Likurg_2 [28]

4x²-12x²-6x+12x²-36x²-18x-16x+48x+24
-32x²+8x+24

4 0

3 years ago

Find the zeros of the function f(x) = x2+ 6x + 18.<br> The 2 is square

Novay_Z [31]

To find the number of zeros in the quadratic equation we factorize it as follows:
f(x)=x²+6x+18
solving using completing square methods we obtain:
x^2+6x=-18
c=(b/2a)^2=9
thus
x²+6x+9=-18+8
x²+6x+9=-9
(x+3)²=-9
hence
x=-3+/-3i
the roots are:
x=-3+3i or x=-3-3i

6 0

3 years ago

What is the solution set of the equation 30/x^2-9 +1=5/x-3

gizmo_the_mogwai [7]

$\frac{30}{x^{2} - 9 + 1} = \frac{5}{x - 3} \\\frac{30}{x^{2} - 8} = \frac{5}{x - 3} \\5(x^{2} - 8) = 30(x - 3) \\5(x^{2}) - 5(8) = 30(x) - 30(3) \\5x^{2} - 40 = 30x - 90 \\5x^{2} + 50 = 30x \\5x^{2} - 30x + 50 = 0 \\5(x^{2}) - 5(6x) + 5(10) = 0 \\5(x^{2} - 6x + 10) = 0 \\\frac{5(x^{2} - 6x + 10)}{5} = \frac{0}{5} \\x^{2} - 6x + 10 = 0 \\x = \frac{-(-6) \± \sqrt{(-6)^{2} - 4(1)(10)}}{2(1)} \\x = \frac{6 \± \sqrt{36 - 40}}{2} \\x = \frac{6 \± \sqrt{-4}}{2} \\x = \frac{6 \± 2i}{2} \\x = 3 \± i \\x = 3 + i\ or\ x = 3 - i$

The answer is D.

8 0

3 years ago

Read 2 more answers

Can someone help me with this? I’m stuck. Thank you!

Leto [7]

Answer:

31°

108°

Step-by-step explanation:

The measure of angle ADB is congruent to the measure of angle CBD, so it is equal to 31°.

4x = 12

divide by 4 on both sides and you are left with x=3

angle A is congruent to angle C, so it is equal to 108°.

Hope this helps!

5 0

3 years ago

Geometry question help please !!​

Geometry question help please !!