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melisa1 [442]
3 years ago
8

What is the value of x? Leave your answer in simplest radical form.

Mathematics
2 answers:
BigorU [14]3 years ago
8 0

the correct answer should be 2radical 13

Dafna1 [17]3 years ago
5 0

Answer:

x = 2\sqrt{13}.

Step-by-step explanation:

Given : A right triangle with two perpendicular sides 4 , 6.

To find : value of x .

Solution : We have given A right triangle with two perpendicular sides

Shortest leg = 4 unit

Longer leg = 6 unit.

Hypotenuse = x .

By the Pythagorean theorem :

(Hypotenuse)² = (Longer leg)²+ ( Shortest leg)².

Plug the values

(x)² = (6)²+ (4)².

(x)² = 36 + 16 .

(x)² = 52

Taking square root both sides

x = \sqrt{52}.

x =  \sqrt{4 * 13}.

x =  \sqrt{4} *\sqrt{13}.

x = 2\sqrt{13}.

Therefore, x = 2\sqrt{13}.

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A map has a scale of 5 in. = 15 mi. If you measured the distance between two cities to be 26 in. On the map, how many miles woul
Reil [10]

Answer:

Actual distance between the two cities given on the map = 78.0 miles

Step-by-step explanation:

Scale used for the actual distance between two cities on a map is,

5 in. = 15 mi.

\frac{5}{15} in. = \frac{15}{15} mi.

1 mi. = \frac{1}{3} in.

1 inch = 3 miles

Therefore, 26 inches on the map = 26 × 3

                                                        = 78 miles

Therefore, actual distance between the two cities given on the map = 78.0 miles

5 0
2 years ago
the farm covers an area of 13square miles. The farm is divided into 4 equal sections, as shown in this diagram. What is the area
lidiya [134]

Answer:

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Step-by-step explanation:

p[

8 0
3 years ago
Read 2 more answers
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Aleksandr-060686 [28]

Answer:

\sqrt{113} = x

Step-by-step explanation:

In right triangles the sum of square length of two legs is equal to square length of hypotenuse:

7^2 + 8^2 = x^2

49 + 64 = x^2 add like terms

113 = x^2 find the root for both sides

\sqrt{113} = x

8 0
2 years ago
Given: triangle ABC and triangle EDC, C is the midpoint of BD and AE. <br>Prove: AB || DE
VladimirAG [237]

Step-by-step explanation:

1. ΔABC=ΔCDE: a) according to the condition BC=CD and AC=CE; b) m∠(BCA)=m∠(DCE).

2. if ΔABC=ΔCDE, then m∠(BAC)=m∠(DEC) and m∠(ABC)=m∠(CDE).

3. if m∠(BAC)=m∠(DEC), then AB || DE (or if m∠(ABC)=m∠(CDE), then AB || DE).

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2 years ago
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Viefleur [7K]

Answer:

what is the question?

Step-by-step explanation:

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