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Bumek [7]
4 years ago
12

Help me pleaseeeeeeeeee

Mathematics
1 answer:
gayaneshka [121]4 years ago
7 0
THE ANSWER IS A.....
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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
(PLZZZZ HELP ME its actually easy I am trying to check my work) Bob's family of three was driving to Washington D.C.. They were
Rama09 [41]
Family of 3 so 
3 x4.89= 14.67
3x5= 15.00
3x8.49=25.47
25.47+14.67+15.00= 55.15
The budget was 60$
So they actually had enough you were not correct.

8 0
3 years ago
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What is the solution for x² + 4x > 77?
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If f(x) = 2x + 2 and g(x) = x3, what is (gºf)(2)?
Viktor [21]

Answer:

  216

Step-by-step explanation:

(g∘f)(x) = g(f(x))

f(2) = 2·2 +2 = 6

g(f(2)) = g(6) = 6³ = 216

5 0
3 years ago
Simplify (-2x^3)^2·y·y^9 -4x^6y^8 -4x^4y^8 4x^6y^10 -4x^4y^10<br><br> Answer: 4x^6y^10
Veseljchak [2.6K]
I don’t know I want points
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