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Marat540 [252]
3 years ago
10

This is Geometry. Can someone help me find the side length asked for?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

The trick is to recognize a few things.

1. These are similar triangles, so the ratio of BU to BC is the same as BT to BA and UT to CA.

    \dfrac{BU}{BC}=\dfrac{BT}{BA}=\dfrac{UT}{CA}

2. BC = 2 BUs and BA = 2 BTs

This means the sides of the short triangle are half the length of the sides of the big triangle.

Put in other words, CA = 2 UT

Put into an equation x+29 = 2(x+19).

   x + 29 = 2x + 38

        –9  = x

So that means UT = 10 and CA = 20

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The sum of 3 consecutive even
aleksandrvk [35]

Answer:

The variable representation is x, x+2 and x+4 for this sequence.

Step-by-step explanation:

Given that:

The sum of 3 consecutive even numbers is 78.

Let,

The first even number is represented by x.

As the numbers are consecutive, thus,

First even number = x

Second even number = x+2

Third even number = x+4

Hence,

The variable representation is x, x+2 and x+4 for this sequence.

7 0
2 years ago
A rectangular painting by Leonardo da Vinci measured 62cm along its diagonal. If the painting has a height of 42 cm how wide is
IRINA_888 [86]

ANSWER

45.6cm to the nearest tenth.

EXPLANATION

The diagonal of the rectangular painting is 62cm.

The height of the painting is 42 cm.

The height of the painting h , the diagonal, and the width of the painting forms a right triangle with the diagonal being the hypotenuse.

From the Pythagoras Theorem,

{w}^{2}  +  {42}^{2}  = {62}^{2}

{w}^{2} = {62}^{2} -  {42}^{2}

{w}^{2}  = 2080

{w} =  \sqrt{2080}

w = 4 \sqrt{130}

The width of the painting is 45.6cm to the nearest tenth.

4 0
3 years ago
Please Help me this is the first part of 4 in this question. I will be posting the other 3 shortly. I need the answer. This is v
Ket [755]

Answer:

y = 1/6x + 5

Step-by-step explanation:

-x + 6y = 30

6y = x + 30

y = 1/6x + 5

6 0
2 years ago
The sum of two numbers is 225. The difference of the same two numbers is 35.What are the 2 numbers?
Ksivusya [100]

Answer:

130 and 95

Step-by-step explanation:

Calculator

4 0
3 years ago
What is the answer for this question?
drek231 [11]

Answer: B

Step-by-step explanation:

(-3, -1) and (4, 5) are the points given

Slope formula: \frac{Y2-Y1}{X2-X1}

\frac{5--1}{4--3} = \frac{5+1}{4+3} \\

\frac{5+1}{4+3} = \frac{6}{7}

8 0
3 years ago
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