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elena55 [62]
3 years ago
8

What is the length of the side a ? A=

Mathematics
2 answers:
vodka [1.7K]3 years ago
7 0

Answer:

a = 5

Step-by-step explanation:

Notice that \triangle CDB is a right triangle where its hypotenuse is \overline{CB}. We can also see that a = CB. For this we must use the Pythagorean Theorem.

Recall:

The Pythagorean Theorem states that if you have a right triangle, the principal square root of the sum of the squares of each leg is the length the hypotenuse.

We can see that CD = 3 and DB = 4

a = \sqrt{CD^2 +DB^2} \\ a = \sqrt{3^2 +4^2} \\ a = \sqrt{9 +16} \\ a = \sqrt{25} \\ a = 5

lys-0071 [83]3 years ago
3 0

Answer:

<h2>a=5</h2>

Step-by-step explanation:

<h2>carry on learning to ☺️☺️</h2>
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How many units? What is e value of a?
kkurt [141]

Answer:

a = 14

Step-by-step explanation:

3a = a + 28 ➡ 2a = 28 ➡ a = 14

6 0
3 years ago
The point A(4, 2) is reflected over the point (-1,4) and it's image is point B. What
r-ruslan [8.4K]

Answer:

  B = (-6, 6)

Step-by-step explanation:

If M is the midpoint of AB, then ...

  B = 2M - A

  B = 2(-1, 4) -(4, 2) = (-2-4, 8-2)

  B = (-6, 6)

7 0
3 years ago
In J, K is the midpoint. The coordinates of ) are (2, 2), and the coordinates of Kare (10, 11). What are the coordinates of L?
DiKsa [7]

Answer:

L(18, 20)

Step-by-step explanation:

In JL, K is the midpoint. The coordinates of J are (2, 2), and the

coordinates of K are (10, 11). What are the coordinates of L?

Solution:

If O(x, y) is the midpoint between two points A(x_1,y_1) and B(x_2,y_2). The equation to determine the location of O is given by:

x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}

Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let (x_2,y_2) be the coordinate of L. Therefore:

10=\frac{2+x_2}{2} \\\\20=2+x_2\\\\x_2=18

11=\frac{2+y_2}{2} \\\\22=2+y_2\\\\y_2=20

Therefore L = (18, 20)

4 0
3 years ago
What is the surface area of the prism below<br> 2.5 m<br> 2 m<br> 10 m<br> 1.5 m
Kipish [7]

Answer:

5 by 11

Step-by-step explanation:

Brainliest pls

6 0
3 years ago
Find the value for x. Round your answer to the nearest hundredth. Area of the triangle = 8 ft^2​
zmey [24]

Answer:

x = 3.51

Step-by-step explanation:

Since, formula to determine the area f a triangle is,

Area = \frac{1}{2}(\text{Base})(\text{Height})

     8 = \frac{1}{2}(x + 1)(3x - 7)

16 = x(3x - 7) + 1(3x - 7)

16 = 3x² - 7x + 3x - 7

16 = 3x² - 4x - 7

0 = 3x² - 4x - 23

3x²- 4x - 23 = 0

By quadratic formula,

x = \frac{-b\pm \sqrt{b^{2}-4ac}}{2a}

x = \frac{4\pm \sqrt{(-4)^{2}-4(3)(-23)}}{2(3)}

x = \frac{4\pm \sqrt{292}}{6}

x = \frac{4\pm 17.09}{6}

x = 3.51, -2.18

But the length of sides can't be negative.

Therefore, x = 3.51 will be the answer.

8 0
3 years ago
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