Triangle ABC and Triangle XYZ are similar. If angle A=30 and angle B=45, what can you conclude?

A. Triangle XYZ is acute.

B. Triangle XYZ is isosceles.

C. Triangle XYZ is right.

D. Triangle XYZ is obtuse.

Answers

Answer 1

The given angles sum to less than 90°, so the remaining angle must be more than 90°. (The total of all angles is 180°.) Triangle ABC has an angle greater than 90°, so is obtuse. Since the triangles are similar, their corresponding angles are congruent. Hence ...

.. D. Triangle XYZ is obtuse.


Related Questions

What is the correct similarity statement for the two triangles below?



A. DEF~HKG

B. EDF~HKG

C. DEF~HGK

D. FED~KGH

Answers

I think it is A. DEF~HKG

Answer:

A. DEF~HKG

Explanation:

As you can see in both of the images these are the segments that exist:

DE=4

EF=3

FD=6

HK=8

KG=6

GH=12

So the similar are HK=DE and EF=KG and FD=GH, so the points should also be in that order, which means that the correc option is: A. DEF~HKG

1. National Fire Protection Association (NFiPA) 704 diamond label system helps firefighters and employees easily recognize the categories of hazardous substances stored on the site.

A) True
B) False

Answers

Answer: True

Explanation: i just did it

National Fire Protection Association (NFiPA) 704 diamond label system helps firefighters and employees easily recognize the categories of hazardous substances stored on the site. The statement is true.

What do you understand by NFIPA?

A safety standard that outlines how hazardous items are identified for emergency responders is called the Standard System for the Identification of the Hazards of Materials for Emergency Response.

The National Fire Protection Association (NFIPA) 704 helps firefighters and employees easily recognize the categories of hazardous substances stored on the site.

It is published by National Fire Protection Association to supplement the labeling system for emergency respondents and benefit also those working in normal conditions.

To know more about National Fire Protection Association follow

https://brainly.com/question/18567548

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explain why the quotient rule is used to determine the derivative of tan x and cot x

Answers

The quotient rule is used to find the derivative of a ratio between two functions.  It is used in the case of tan(x) and cot(x) because tan(x) can be written as [tex]\frac{sin(x)}{cos(x)}[/tex] (so f(x) = tan(x) is really f(x) = [tex]\frac{sin(x)}{cos(x)}[/tex]).  Similarly, cot(x) can be written as [tex]\frac{cos(x)}{sin(x)}[/tex], so the quotient rule also applies.

The Washington state native has lived in Mississippi for thirty years; ____, she always feels betrayed by the stifling summer heat. Which is the BEST transitional word to add to this sentence? A) besides B) consequently C) finally D) however

Answers

B. consequently. that's the answer.

D. However

It soubds much better then all the other answer choices.

If ST is reflected across the line y=x, what is the new coordinate point of S'?
A. (5,2)B. (-5,-2)C. (-2,-5)D. (2,5)

Answers

Answer:

B. (-5,-2)

Explanation:

When a point is reflected across y = x, we only need to switch the x and y values of the old coordinates to get the new ones.  S is at (-2,-5), so by switching the x and y values, we can find that the S' is at (-5,-2).

Which pairs of figures are similar polygons?

Answers

all except the triangles

The only pair of similar figures is BDHV and GNEF, the trap-ezoids at the bottom.

_____

Similar figures have both same-size angles and same-ratio sides.

Comparing ADLH to JBEK, we find AH/JK = 18/9 = 2, but LD/EB = 24/16 = 1.5. The side ratios differ (even though the angles are marked as congruent). The figures are not similar. (and the angles cannot be congruent as marked)

Comparing WHAT to SKGE, we find WT/TA = 40/22 ≈ 1.8182, and SE/EG = 16/10 = 1.6. The side ratios are different, so the figures are not similar.

Comparing DEF to ABC, we find the angles are different, so the figures are not similar.

Comparing BDHV to GNEF, we find the corresponding angles are all marked as congruent and the side ratios are all 18/12 = 21/14 = 33/22 = 3/2, the same. These figures are similar.

what is YZ?

enter your answer as a decimal in the box.

Answers

The midsegment postulate tells you YZ = (1/2)VX, so is

... YZ = (36.8 in)/2 = 18.4 in

Answer:

18.4 inches.

Explanation:

In order to solve this you have to remember that when a straight line parallel to the side of the triangle cuts the triangle the resultant smalle triangle is similar to the original and will save its proportions, in the image you can see that all of the segments on each side measure the same, meaning that the segment X-W will measure 4 units, and the segmetn ZW will measure 2, with this reference we can solve witha rule of three:

XW/ZW=XV/ZY

4/2=36.8 inches/ZY

ZY=36.8*2/4=18.4 inches

Why don’t radicals in reactionaries get elected in this country

Answers

Radicals and reactionaries want the extremes in government. They only make up less than 2% of the population as well. Hope this helps you :)

How does the psychoanalytic theory from Freud explain crime?

Answers

The psychoanalytic theory from Sigmund Freud explain that crime was done because of the unconscious mind of an individual. The theory believe that we are born as blank slates and the things that happen to us in the early years of life will determine if we are capable to develop criminal behavior. This means that our criminal action is based from our specific formative childhood influences.

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