In the rhombus,8y-6 . Find the value of y.

In triangle STU, u2 = s2 + t2. Triangle STU has sides s, t, u opposite to the corresponding vertices S, T, U Which equation is t

wlad13 [49]

Answer:
<span>The measure of angle SUT is equal to 90 degrees
</span>
Explanation:
The Pythagorean theorem states that:
"In any right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides"
In other words:
(hypotenuse)² = (first side)² + (second side)²

Now, for the given, we have:
u² = s² + t²
This means that the given triangle UST is a right-angled triangle and that side "u" is its hypotenuse.

According to the given, the angle opposite to side "u" is angle U. This means that angle U is the right-angle in this triangle.

Based on the above:
angle U = 90°
angle S + angle T = 180 - 90 = 90°

Now, comparing our deductions to the given choices, we can conclude that the correct choice is:
The measure of angle SUT is equal to 90 degrees

Hope this helps :)

6 0

4 years ago

Read 2 more answers

Evaluate \dfrac{e}{4}+2f-3

Igoryamba

Answer:

The value of given expression is 1.

Step-by-step explanation:

Consider the given expression is

$\dfrac{e}{4}+2f-3$

When e=12 and $f=\dfrac{1}{2}$ .

Substitute e=12 and $f=\dfrac{1}{2}$ in the given expression.

$\dfrac{12}{4}+2(\dfrac{1}{2})-3$

On simplification we get

$3+1-3$

$1$

Therefore, the value of given expression is 1.

8 0

3 years ago

Triangle A: 6 cm, 8 cm, and 10 cm Triangle B: 310 in, 25in, and 35in Triangle C: 8 ft, 15 ft, and 17 ft Triangle D: 0.32 mm, 0.9

Alexus [3.1K]

Answer:

Triangle B

Step-by-step explanation:

For a triangle with sides a, b and c,

If c² = a² + b²

Then triangle will be a right triangle.

If c² > a² + b²

Triangle will be an obtuse triangle

If c² < a² + b²

Triangle will be an acute triangle.

By applying these properties in the given triangles,

Triangle A:

6 cm, 8 cm and 10 cm

6² + 8² = 36 + 64

6² + 8² = 100 [c² = a² + b²]

Therefore, it's a right triangle.

Triangle B:

310 in, 25 in and 35 in

25² + 35² = 625 + 1225

= 1850

Since, 310² = 96100

And 96100 > 1850 [c² > a² + b²]

Therefore, It's an obtuse triangle.

Triangle C:

8 ft, 15 ft and 35 ft

8² + 15² = 64 + 225

= 289

Since, 17² = 289 [c² = a² + b²]

Therefore, It's a right triangle.

Triangle D:

0.32 mm, 0.96 mm and 1 mm

(0.32)² + (0.96)² = 1.024

Since, 1² = 1

And 1 < 1.024 [c² < a² + b²]

Therefore, triangle will be an acute triangle.

3 0

3 years ago

127 pounds to kilograms?

shusha [124]

For this case we must make a conversion from pounds to kilograms.

By definition we have to:

1 kg equals 2.20462 pounds. Making a rule of three we have:

2.20462 pounds ---------------> 1 kg

127 pounds -----------------------> x

Where "x" represents the amount of kg.

$x = \frac {127 * 1} {2.20462} = 57.6062$

Thus, 127 pounds represent 57.61 kilograms.

Answer:

57.61 kilograms.

8 0

3 years ago

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If sally had 2 apples and gave away 1 , how many does she have left ?

Schach [20]

One apple because 2-1=1

3 0

3 years ago