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Strike441 [17]
3 years ago
9

Use the diagram of ◾ABC to find m<DM<D=​

Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0

Answer:

In quadrilateral ABCD we have

AC = AD

and AB being the bisector of ∠A.

Now, in ΔABC and ΔABD,

AC = AD

[Given]

AB = AB

[Common]

∠CAB = ∠DAB [∴ AB bisects ∠CAD]

∴ Using SAS criteria, we have

ΔABC ≌ ΔABD.

∴ Corresponding parts of congruent triangles (c.p.c.t) are equal.

∴ BC = BD.

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Answer: First option.

Step-by-step explanation:

You can idenfity in the figure that \angle FCE is formed by two secants that intersect outside of the given circle.

It is important to remember that, by definition:

 Angle\ formed\ by\ two\ Secants=\frac{1}{2}( Difference\ of\ intercepted\ Arcs)

Knowing this, you can set up the following equation:

m\angle FCE=\frac{1}{2}(BD-FE)

Therefore, you must substitute values into the equation and then evaluate, in order to find the measure of the angle \angle FCE.

This is:

m\angle FCE=\frac{1}{2}(112\°-38\°)\\\\m\angle FCE=37\°

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Step-by-step explanation:

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Answer:

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a_sh-v [17]

Answer:

D

Step-by-step explanation:

A is (-8,8) so you would divide each 8 by 4 because 8 divided by 1/4 so you will have (-2,2)

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3 years ago
Is x = -7, the solution to -11 + 2x = -26? Justify your answer in complete sentences.
Natali5045456 [20]
First of all, you can move the +2x to the other side:
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Then you can move the -26 to the other side and then simplify:
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Then you can divide both sides by 2:
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Then you can flip the sides and the signs around:
x = -7.5

No, The answer is not -7, it is -7.5
Hope this helps! :)
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3 years ago
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