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alukav5142 [94]
3 years ago
12

If these are correct.

Mathematics
1 answer:
podryga [215]3 years ago
5 0
Yes I think they are correct
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Please anybody help me please this is so hard that not even I can't solve this I don't pay attention in class
Alla [95]

Answer:

m\angle B=54^{\circ}

m\angle BAD=36^{\circ}

m\angle CDA=90^{\circ}

BAC=72^{\circ}

Step-by-step explanation:

Given:

\overline{AB}\cong \overline{AC},

\overline{AD} bisects angle BAC

m\angle C=54^{\circ}

Triangle ABC is isosceles triangle, because \overline{AB}\cong \overline{AC}. Angles adjacent to the base of isosceles triangle ABC are congruent.

Hence,

m\angle C=m\angle B=54^{\circ}

The sum of the measures of all interior angles is 180°, so,

m\angle B+m\angle C+m\angle BAC=180^{\circ}\\ \\m\angle BAC=180^{\circ}-2\cdot 54^{\circ}=72^{\circ}

Since \overline{AD} bisects angle BAC, angles BAD and CAD are congruent by definition of angle bisector. So,

m\angle BAD=m\angle CAD=\dfrac{1}{2}m\angle BAC=\dfrac{1}{2}\cdot 72^{\circ}=36^{\circ}

AD ia angle bisector in isosceles triangle drawn to the base, so it is the height. Thus, AD and BC are perpendicular. So,

m\angle CDA=90^{\circ}

8 0
3 years ago
Does anyone know at this means:
Lostsunrise [7]
Let's say x = 16.  In the equation 4 + x(3/x) then you use 16 instead of x.  So it would look like 4 + 16(16/3).  4 plus 16 times 16 divided by 3.
4 0
3 years ago
Help please!!!!!!!!!!
yaroslaw [1]
Because these are opposite and they both have complimentary angles, you can set them equal to each other and solve for x
4 0
4 years ago
Read 2 more answers
Quadrilateral abcd is a parallelogram if both pairs of opposite angles are congruent. prove that quadrilateral abcd is parallelo
Sati [7]

Answer:

you how are doing please study and work hard

8 0
2 years ago
Find the derivative of f(x) = negative 5 divided by x at x = 11.
Yuki888 [10]
I want to believe the equation is,
 f(x) = -5/x
This can be written as;

f(x)  = y

y = -5 x⁻¹
derivative = dy/dx = (-1)(-5)x(⁻1-1)
                              = 5x⁻²
 
Derivative at x=11, 

dy/dx = 5(11)⁻²
         = 5/(11²)
         = 5/121

So, the derivative of  f(x) = -5/x at x=11 is 5/121.




6 0
4 years ago
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