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allochka39001 [22]
2 years ago
10

Find the missing side lengths and it's converse​

Mathematics
1 answer:
Natalka [10]2 years ago
8 0

Answer:

x  ≈ 10.7 ft.

Step-by-step explanation:

Given triangle in the picture is a right triangle.

By applying Pythagoras Theorem in this triangle.

(Hypotenuse)² = (Leg 1)² + (Leg2)²

(14)² = x² + 9²

x² = (14)² - 9²

x=\sqrt{196-81}

x=\sqrt{115}

x = 10.72

x  ≈ 10.7 ft.

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HELP!!!!!!!!! I DONT UNDERSTAND THIS
ValentinkaMS [17]

Answer:

x=86^{\circ}

y=94^{\circ}

z=54^{\circ}

Step-by-step explanation:

First, let's look at the largest triangle (two smaller triangles are combined) to solve for z. Since the sum of the angles in a triangle adds up to 180^{\circ}, we can write the equation:

20+74+32+z=180

z=180-126

z=54^{\circ}

Looking at the smaller triangle on the left, y (exterior angle) is the sum of the two opposite interior angles of the triangle on the left:

y=74+20

=94^{\circ}

Since x is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:

x=32+z

=32+54

=86^{\circ}

Hope this helps :)

6 0
2 years ago
Use the distributive property to rewrite the expression in factored form.<br> 15g−40
muminat

Answer:

c

Step-by-step explanation:trust

5 0
3 years ago
In triangle ABC, angle = 90 degrees. AC = 7, BC = 12. AB = _______ Measure of angle A = _______ Measure of angle B = _______
Ulleksa [173]

Answer:

AB = 13.89

Measure of angle A = 59.74°

Measure of angle B = 30.26°

Step-by-step explanation:

The given parameters are;

∠C = 90°

AC = 7

BC = 12

Part 1

Hence, the question has the dimensions of the two adjacent sides of the right angle (angle 90°)

From Pythagoras theorem, we have;

A² = B² + C²

Where, A is the opposite side to the right angle, hence;

In the ΔABC,

AB ≡ A

Therefore;

AB² = AC² + BC² = 7² + 12² = 193

∴ AB = √193 = 13.89

Part 2

∠A is the side opposite side BC such that by trigonometric ratios

tan \angle A = \frac{Opposite \, side \,  to \,  angle \,  A}{Adjacent  \,  side  \, to  \, angle \,  A}  = \frac{BC}{AC} = \frac{12}{7} = 1.714

∴ ∠A = Arctan(1.714) or tan⁻¹(1.714) = 59.74°

Part 3

∠B is found from knowing that the sum of the angles in a triangle = 180°

∴ ∠A + ∠B + ∠C = 180° which gives

59.74° + 90° + ∠B = 180°

Hence, ∠B = 180° - (59.74° + 90°) = 180° - 149.74° = 30.26°.

7 0
3 years ago
Read 2 more answers
0.7553 rounded to the nearest hundredth
grigory [225]
0.76 is the answer you go to hundredth place and look at the number next to it
6 0
3 years ago
Read 2 more answers
Put these in order starting with the smallest.
Alexxandr [17]

Answer:

Step-by-step explanation:

9^{\frac{3}{2} } = ( √9 )³ = 27

27^{\frac{1}{3} } = ∛27 = 3

125^{\frac{2}{3} } = ( ∛125 )² = 25

27^{\frac{1}{3} } , 125^{\frac{2}{3} } , 9^{\frac{3}{2} }

7 0
2 years ago
Read 2 more answers
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