PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find each angle measure in the triangle.

An exteriorangle of ΔXYZ is ∠HXJ.

The correct option is D.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

As per the provided diagram, the exterior angles in the ΔXYZ are:

∠LXH,

∠MXJ,

∠HXJ,

∠OYK,

∠GZN,

∠MXZ,

∠YXL,

∠KYZ,

∠GZY.

From the given choices, ∠HXJ is an exterior angle of ΔXYZ.

To learn more about the angle measure;

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Answer:

The answer is C, <JXZ.

Step-by-step explanation:

If ∆LMC ≅ ∆BJK, then ∆CL ≅ ∆KB. so the correct option is D.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We have been given that ∆LMC ≅ ∆BJK.

The image of the triangles are attached below;

The triangle are congruent to each other so,

∆LMC ≅ ∆BJK

∆LM ≅ ∆BJ

∆LC ≅ ∆BK

∆MC ≅ ∆JK

Thus, ∆LC ≅ ∆BK so the correct option is D.

Learn more about congruenttriangles;

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Answer:

A point travels East 3 spaces and South 8 spaces.

Algebraic equation

Step-by-step explanation:

From the viewpoint of Linear Algebra, the description can be described by means of translation, which is defined as:

(1)

Where:

- Initial position of the traveller, dimensionless.

- Translation vector, dimensionless.

- Final position of the traveller, dimensionless.

Let suppose that represents the number of steps to the north, and , the number of steps to the east.

If we know that and , then the resulting equation is:

9514 1404 393

Answer:

  (a) cannot be determined

  (b) 44 cm^2

  (c) 87 m^2

  (d) 180 m^2

  (e) 132 m^2

Step-by-step explanation:

(a) missing a horizontal dimension

__

(b) The difference between the bounding rectangle and the lower-left cutout is ...

  (8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2

__

(c) The difference between the bounding rectangle and the center cutout is ...

  (13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2

__

(d) The difference between the bounding rectangle and the two cutouts is ...

  (20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2

__

(e) The difference between the bounding rectangle and the two cutouts is ...

  (14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2

Answer:

4

Step-by-step explanation:

• To be perpendicular, the product of the slope is -1.
• (x,y) Substituting the coordinates.
• y= 1/3(x+3) + 1
• y= 1/3x +2

Answer:

your answer is correct

Step-by-step explanation:

the first one is the correct answer

Answer:

x-4+3x+100=180....by angle sum property

4x=84

x=21