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4 years ago

What is the length of EF and the measure of ∡D?

Mathematics

1 answer:

Bad White [126]4 years ago

4 0

Answer:

The given information tells you that you have two congruent triangles. That means that all of the side lengths and angles will have the same measurement. So if the length of line CB is 10, then the length of the equivalent side of the second triangle (EF is also 10). Angle A and Angle D will also have the same measurement. Therefore, measurement of angle D is also 37 degrees.

Step-by-step explanation:

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Find the fifth term in the sequence that is defined as follows a1=1. An=3an-1+2

faltersainse [42]

The fifth term in the sequence would be 161.

Step-by-step explanation:

We have to find the fifth term in the sequence $an=3a(n-1)+2$

Given that

a1 = 1 (that is the first term)

If we follow the formula, the value of every term depends on the value of immediate lower term. Therefore, the a2 can be calculated by putting 2 in place of n in above equation

$a2=3a(2-1)+2$

$a2=3a1+2$

$a2=3(1)+2$ as a1 = 1

$a2=5$

Similarly,

$a3=3a(3-1)+2$

$a3=3a2+2$

$a3=3(5)+2$ as a2 = 5

$a3=17$

and

$a4=3a(4-1)+2$

$a4=3a3+2$

$a4=3(17)+2$ as a3= 17

$a4=53$

and

$a5=3a(5-1)+2$

$a5=3a4+2$

$a5=3(53)+2$ as a4 = 53

$a5=161$

Therefore, the fifth term in the sequence would be 161.

Learn more:

The following links have more information about sequencing

brainly.com/question/7221312

Keywords: sequence, arithmetic series

#learnwithBrainly

6 0

4 years ago

£6000 is to be shared among David, Daniel and Dennis, Daniel is to get one and a half times as much as David, while Denis is to

Elina [12.6K]

Answer:

Step-by-step explanation:

9+9+9+9=36 or 9 times 3

HOPE IT HELPS Y'ALL:)

6 0

3 years ago

What is x^2-11x-5=0

mr Goodwill [35]

$x^2-11x-5=0\\a=1,b=-11,c=-5\\D=b^2-4ac=(-11)^2-4\times1\times(-5)=121+20=141\\x_{1,2}=\dfrac{-b\pm\sqrt{D} }{2a} \\x_1=\dfrac{11+\sqrt{141} }{2} \\x_2=\dfrac{11-\sqrt{141} }{2}$

8 0

3 years ago

Explanations not just answers: Sarah measures the angle of elevation to the top of a tree as 23.6 degrees from the point which i

Reika [66]

See the attached diagram.

In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m. This suggests using the tangent ratio.

$\frac{x}{250}=\tan 23.6 ^\circ \\ x=250 \cdot \tan 23.6^\circ \approx 109.2$

Finally, to get the height of the tree, add Sarah's height, 1.5 m.

The tree is approximately 110.7m tall.

6 0

4 years ago

Please help! Correct answer only, please! I need to finish this assignment this week. What are the dimensions of the matrix show

Katena32 [7]

Answer:

3 x 5

Step-by-step explanation:

The dimension of a matrix is normally represented in form of:

<u>number of rows</u> x <u>number of columns</u>

In the given matrix, there are 3 rows and 5 columns.

=> The dimension of this matrix is 3 x 5

=> Option D is correct

Hope this helps!

5 0

3 years ago