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melomori [17]
3 years ago
13

Point D is in the interior of ZABC, m ABC = 10x - 7, m_ABD = 6x + 5, and m DBC = 36. What is m ABD?

Mathematics
1 answer:
mestny [16]3 years ago
5 0

Answer:

<h3>77</h3>

Step-by-step explanation:

If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC

Given

<ABC = 10x - 7,

<ABD = 6x + 5

<DBC = 36

Substituting the given parameters into the formula above;

ABD+<DBC = <ABC

6x + 5+ 36 = 10x-7

6x+41 = 10x-7

collect like terms

6x-10x = -7-41

-4x = -48

divide both sides by -4

-4x/-4 = -48/-4

x = 12

To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5

<ABD = 6(12)+5

<ABD = 72+5

<ABD =77

Hence the value of <ABD is 77

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Answer:

The red square, the green rectangle, the pink rhombus, and the green trapezoid.

Step-by-step explanation:

A quadrilateral is a shape that has 4 sides so all you have to do is count how many sides the shape has.

3 0
3 years ago
Find the equation that models the path of a satellite if its path is a hyperbola, a=55,000 km and c=81,000 km. Assume the center
Yuki888 [10]

Given:

Hyperbola

a=55,000 km and c=81,000 km

hyperbola is the origin and the transverse axis is horizontal

Required:

Equation of the path of a satellite

Solution:

Formula for hyperbola, (x-h)2/a2 – (x-k)2/b2 = 1

At origin, (h, k) = (0, 0)

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<span>X2/12100 – y2/26244 = 250000</span>

8 0
3 years ago
Read 2 more answers
1. How does the scope of practice help regulate the health care field?
Lubov Fominskaja [6]

Answer:

Scope of practice describes the procedures, actions, and processes that a healthcare practitioner is permitted to undertake in keeping with the terms of their professional license.

Step-by-step explanation:

By implementing the law which restricts certain people to work under what they excel they are low chances of making errors in their respective field . and this leads to increase in the proper medical treatment and this would regulate the health care field. suppose if a person with tooth pain comes to neurologist ,according to scope of practice restricted to treat him which results in the neurologist making error in treating dental problem is decreased and he might consult better dentist.

3 0
3 years ago
4 divided by 5 minus radical 15
forsale [732]
-3.073 that is the correct answer
3 0
3 years ago
Which one should I choose?
Nastasia [14]

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

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m\angle 1=90^\circ

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

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Therefore, the correct option is C.

7 0
3 years ago
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