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3 years ago

8

In a right triangle, the acute angles measure x + 15 and 2x degrees. What is the measure of the smallest angle of the triangle?

1 answer:

Nat2105 [25]3 years ago

5 0

The sum of the three angles of a triangle is always 180 degrees. If the triangle is right, which means one of the angles measures 90 degrees, the other two angles should add up to 90 degrees. With this condition and the given above, x + 15 + 2x = 90. Solving for x in the equation gives x = 25. Substituting x to the given expression for the acute angles gives the measurements of 40 and 50 degrees. Thus, the smallest angle of the triangle is <em>40 degrees</em>.

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Please help meeeeee ://

a_sh-v [17]

A). They are supplementary angles meaning they add up to 180
So
B) (12x+8)+(3x+7)=180
12x+8+3x+7=180
15x+15=180
-15 -15
15x=165
15/15x=165/15
x=11

Angle 1 is
12x+8
12(11)+8
132+8
140
Therefore measure of angle 1 is 140°

Angle 2
3x+7
3(11)+7
33+7
40
Measure of angle 2 is 40°

8 0

3 years ago

Please help!!! ABCD is a square with diagonals intersecting at E. What is the length of BE

Snezhnost [94]

Answer:

$BE = 4\sqrt2$

Step-by-step explanation:

Given

The attached square

Required

Find BE

First, we calculate BD (the diagonal) using Pythagoras theorem.

$BD^2 = BA^2 + AD^2$

Since the shape is a square, then

$BA = AD = 8$

So:

$BD^2 = 8^2 + 8^2$

$BD^2 = 2(8^2)$

Take square roots

$BD = \sqrt{2(8^2)$

$BD = \sqrt{2} * 8$

$BD = 8\sqrt{2}$

BE is half BD.

So:

$BE = \frac{1}{2} * BD$

$BE = \frac{1}{2} * 8\sqrt2$

$BE = 4\sqrt2$

8 0

2 years ago

O is the centre of this circle and point Q is a point of tangency. Determine the value of t. If necessary, give your answer to t

dsp73

Answer:

Hello bozo

Step-by-step explanation:

4 0

2 years ago

I really need help on geometry

balu736 [363]

For example, exc. 15.

x + y = 10 and 6/x = 9/y; You need y!

=> x = 10 -y and 9x = 6y => 9(10-y) = 6y => 90 - 9y = 6y => 15y = 90 => y = 6.

8 0

2 years ago

At a local park, Jared can choose between two circular paths to ride his bicycle. One path has a diameter of 240 yards, and the

amid [387]

Answer:

94.2 yards

Step-by-step explanation:

1st path = d = 120 yards

c= pie d

c= 376.8 yards

2nd yard = r = 45 yards

c = 2 pie r

c = 2(3,14)(45)

c = 282.6 yards

then subtract yard 1 and yard 2 to get 94.2 yard

ANSWER :94.2 yards

4 0

3 years ago

Read 2 more answers