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masha68 [24]
3 years ago
10

Which represents an exterior angle of triangle XYZ? ∠LXZ ∠JXM ∠JXZ ∠HXJ

Mathematics
2 answers:
WARRIOR [948]3 years ago
8 0

Answer:

∠JXZ is the exterior angle of triangle XYZ  

Step-by-step explanation:

Given the figure in which two parallel lines cut by two transversal line

we have to select the exterior angle of triangle XYZ.

An exterior angle is the angle formed by one side of triangle and adjacent side when extend.

Here,

Option A: ∠LXZ

∠LXZ is the angle formed by one side but not the extension of adjacent side of triangle therefore not a exterior angle.

Option B: ∠JXM

∠JXM is not formed by one side of triangle therefore not an exterior angle.

Option C: ∠JXZ

∠JXZ is the angle formed by one side and the extension of adjacent side of triangle therefore exterior angle.

Option D: ∠HXJ

∠HXJ is the angle formed by the extension of two sides of the triangle therefore not an exterior angle.

Hence, option C is correct.

Oksana_A [137]3 years ago
3 0

\widehat{JXZ}\: is\: the\: answer

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7 0
3 years ago
Peter the optician sees 16 patients one Tuesday.4 are neither short nor long sighted,the total number of short sighted patients
My name is Ann [436]

The number of short-sighted patients is 7

The number of long-sighted patients is 5

The number of patients requiring a varifocal lens is 4

Step-by-step explanation:

Stepwise solution-

Throughout the question, only 3 types of patients are mentioned. Hence, it would be safe to assume that he saw/sees these 3 types of patients on Tuesday.

As per the given details-

4 are neither short-sighted patients nor long-sighted patients. Then it means no of varifocal lens patients is 4.

Hence remaining total patients=16-4=12

As given, no of short-sighted patients is 2 more than the number of long-sighted patients.

Let us assume the number of long-sighted patients as “x”

Thus, the number of short-sighted patients would be “x+2”

x+(x+2)=12   (total remaining patients)

2x=10

x=5

Hence, No. of long-sighted outpatients = 5

            No. of short-sighted outpatients =7

5 0
4 years ago
A line that is not parallel nor perpendicular to y=2/4x+1
DENIUS [597]

Answer:

y=2x+1

Step-by-step explanation:

Parallel = gradients are the same

Example: y=2/4x+5

Perpendicular = gradients are the inverse of each other

Example: y= -4/2x+1

Any equation would be correct unless the gradient is 2/4 or -4/2

6 0
3 years ago
The functions f and g are defined as follows.
mariarad [96]

Answer:

x != -2, x^2 + 1, 1/5

Step-by-step explanation:

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(-2 + 2) = 0

(b) y = sqrt(x-1)

inverse meaning we make x the subject

square both sides

y^2 = x - 1

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pass g(10) as domain of f

g(10) = 3, f(3) = 1/(5) = 1/5

6 0
3 years ago
Sixth grade mathematics
Tpy6a [65]

Hello!

Answer:

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