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Ratling [72]
3 years ago
6

State if the two triangles are congruent. If they are, state how you know.

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

Yes, both triangles are congruent to each other by SIDE ANGLE SIDE property of congruence.

Step-by-step explanation:

Two triangles are said to be congruent if and only if they have same corresponding angles and sides.  

Now, here

Side 1 = Side 2 (given)

Side 3 = Side 4  (given)

Central angle of triangle 1 = Central angle of triangle 2 (Vertically Opposite)

Hence, by the rule of SIDE ANGLE SIDE (SAS) rule of congruence ,

Triangle 1 ≅ Triangle 2

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Please help me find the value of x the answer must be exact
jenyasd209 [6]

Answer:

x=11

Step-by-step explanation:

This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

leg=x\\hypotenuse=x\sqrt{2}

Therefore, the value of x is 11.

You can double-check using the sine ratio:

sineX=\frac{opposite}{hypotenuse}

Insert the values:

sin45=\frac{x}{11\sqrt{2} }

Insert the equation into a calculator:

x=11

:Done

*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.

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3 years ago
Draw the image of quadrilateral ABCD after each translation. The translation that takes B to D
Gnoma [55]
Draw a square and connect b to d
6 0
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Karolina [17]
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7 0
4 years ago
Read 2 more answers
True or False!!!! The measure of a tangent-tangent angle is twice the difference of the measures of the intercepted arcs.
lozanna [386]

answer : False

The measure of a tangent-tangent angle is one - half the difference of the measures of the intercepted arcs.

The diagram is attached below

AB  and BC are the two tangents

By exterior angle theorem

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So   ∠2 = ∠3 - ∠4

Now we find angle 3  and 4, we know when a chord and tangent intersect at a point then the measure of angle is one half of measure of intercepted arc

∠3 = \frac{1}{2} * arc(ADC)

∠4 = \frac{1}{2} * arc(AC)

 ∠2 = ∠3 - ∠4

 ∠2 = \frac{1}{2} * arc(ADC)  -  \frac{1}{2} * arc(AC)

∠2 = \frac{1}{2} ( arc(ADC) - arc(AC))

The measure of a tangent-tangent angle is one half the difference of the measures of the intercepted arcs.



7 0
3 years ago
A wagon is pulled along level ground by exerting a force of 38 pounds on a handle that makes an angle of 30 with the horizontal.
KiRa [710]

Answer:

2150

Step-by-step explanation:

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