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3 years ago

Work out the values of a, b and c. Please it's very urgent.

Mathematics

2 answers:

Andre45 [30]3 years ago

8 0

Step-by-step explanation:

read ur graph before answering the question nd parallel lines are very important

taurus [48]3 years ago

6 0

Answer:

m∠a = 100°

m∠b = 105°

m∠c = 25°

Step-by-step explanation:

The line intersecting the triangle is parallel to the base of the triangle.

The intersecting line has created an additional smaller triangle (to the right of the diagram) which is similar to the larger triangle.

Therefore, the interior angles of the base of the smaller triangle are the same as the interior angles of the base of the original, larger triangle.

So the supplementary angle adjacent to ∠a will be 80°.

Similarly, the supplementary angle adjacent to ∠b will be 75°.

The sum of angles on a straight line is 180°

Therefore, m∠a = 180 - 80 = 100°

and, m∠b = 180 - 75 = 105°

The sum of interior angles of a triangle = 180°

Therefore, to determine m∠c, simply subtract 80° and 75° from 180°:

⇒ m∠c = 180 - 80 - 75 = 25°

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3 years ago

Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a

jeka57 [31]

Answer:

$\\ \gamma= \frac{a\cdot b}{b\cdot b}$

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if $b \neq 0$ . Recall that given two vectors a,b a⊥ b if and only if $a\cdot b =0$ where $\cdot$ is the dot product defined in $\mathbb{R}^n$ . Suposse that $b\neq 0$ . We want to find γ such that $(a-\gamma b)\cdot b=0$ . Given that the dot product can be distributed and that it is linear, the following equation is obtained

$(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b$

Recall that $a\cdot b, b\cdot b$ are both real numbers, so by solving the value of γ, we get that

$\gamma= \frac{a\cdot b}{b\cdot b}$

By construction, this γ is unique if $b\neq 0$ , since if there was a $\gamma_2$ such that $(a-\gamma_2b)\cdot b = 0$ , then

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3 years ago

There are 270 cows on a farm.

vladimir2022 [97]

Answer:

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Step-by-step explanation:

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3 years ago

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Alex_Xolod [135]

The value of the P(2 < X ≤ 4) is 0.14 if the probability of P(x =3) is 0.10 and P(x = 4) is 0.04.

<h3>What is a normal distribution?</h3>

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have a probability distribution shown in the table:

P(2 < X ≤ 4)

We have to find the probability between 2 and 4

P(2 < X ≤ 4) = P(x =3) + P(x = 4)

From the table

P(x =3) = 0.10

P(x = 4) = 0.04

P(2 < X ≤ 4) = 0.10 + 0.04 = 0.14

Thus, the value of the P(2 < X ≤ 4) is 0.14 if the probability of P(x =3) is 0.10 and P(x = 4) is 0.04.

Learn more about the normal distribution here:

brainly.com/question/12421652

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2 years ago

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nikklg [1K]

Answer:

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Step-by-step explanation:

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3 years ago

Work out the values of a, b and c. Please it's very urgent. ​

Work out the values of a, b and c. Please it's very urgent.