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3 years ago

Can you guys help me please

Mathematics

2 answers:

Amanda [17]3 years ago

5 0

Angles ACD and ACE are supplementary. They combine to form a straight angle which is 180 degrees. Let x be the measure of angle ACE.

----

(angle ACD) + (angle ACE) = 180

100 + x = 180

x = 180-100 .... subtract 100 from both sides

x = 80

<h3>angle ACE is 80 degrees</h3>

Alenkinab [10]3 years ago

3 0

Angle ace is 80 degrees

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Exercise 3.7.4: let a = 2 1 0 0 2 0 0 0 2 .

swat32

With

$\mathbf A=\begin{bmatrix}2&1&0\\0&2&0\\0&0&2\end{bmatrix}$

we have

$\det(\mathbf A-\lambda\mathbf I)=\begin{vmatrix}2-\lambda&1&0\\0&2-\lambda&0\\0&0&2-\lambda\end{vmatrix}=(2-\lambda)^3$

so $\mathbf A$ has one eigenvalue, $\lambda=2$ , with multiplicity 3.

In order for $\mathbf A$ to not be defective, we need the dimension of the eigenspace to match the multiplicity of the repeated eigenvalue 2. But $\mathbf A-2\mathbf I$ has nullspace of dimension 2, since

$\begin{bmatrix}0&1&0\\0&0&0\\0&0&0\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\mathbf 0\implies x=0\text{ or }y=0$

That is, we can only obtain 2 eigenvectors,

$\begin{bmatrix}1\\0\\0\end{bmatrix}\text{ and }\begin{bmatrix}0\\0\\1\end{bmatrix}$

and there is no other. We needed 3 in order to complete the basis of eigenvectors.

3 0

3 years ago

Find the coordinates of the midpoint of the segment whose endpoint are H(3,2) and K(9,6)

lutik1710 [3]

Answer:

midpoint P(6, 4)

Step-by-step explanation:

$\frac{x1 + x2}{2} \\ \frac{y1 + y2}{2}$

$\frac{9 + 3}{2} = 6 = x \: mid \: point \\$

$\frac{6 + 2}{2} = 4 = y \: mid \: point$

3 0

3 years ago

PLZ HELP FAST! WILL GIVE BRAINLIEST:)!

kakasveta [241]

2.
24^2 -7^2
=576 + 49
=625

square root 625 = 25

answer is A. 25 ft (first choice)

3.
13^2 - 5^2
= 169-25
=144
square root 144 = 12

answer is d. 12 yd (last choice)

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6 0

4 years ago

Read 2 more answers

PLEASE I NEED HELP I GIVE BRAINLIEST AND 100 POINTS

Marina86 [1]

Answer+Step-by-step explanation:

Note :

The two angles ∠BAE and ∠BEA are congruent in ΔABE ,then (according to the converse of isosceles triangles theorem) the sides opposite to these angles are congruent.

3 0

3 years ago

Alexandra uses 12 cups of water and 6 cups of dry rice to make 18 cups of cooked rice. Today, she wants to make 4 cups of cooked

LekaFEV [45]

The proportion that Alexandra can use to find r is 9 cups of water and 4 cups of dry rice

If Alexandra uses 12 cups of water and 6 cups of dry rice to make 18 cups of cooked rice, this can be expressed as:

$\frac{12}{6} = 18cups$

To get the proportion "r" for the amount of dry rice to use to make 4 cups of cooked rice, we can write:

$r = 4 cups$

Divide both expressions:

$\dfrac{\frac{12}{6} }{\frac{a}{b} } =\frac{18}{4}\\\dfrac{12b}{6a}= \frac{18}{4}\\\dfrac{2b}{a} =\frac{18}{4}\\\frac{b}{a} =\frac{18}{8}\\\frac{b}{a} =\frac{9}{4} =r$

Hence the proportion that Alexandra can use to find r is 9 cups of water and 4 cups of dry rice

Learn more on proportions here: brainly.com/question/19994681

7 0

3 years ago