All categories

3 years ago

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

Mathematics

2 answers:

zheka24 [161]3 years ago

7 0

Answer:

D)m∠X + m∠Y < 90°

Step-by-step explanation:

Given: In triangle XYZ, m∠Z > m∠X + m∠Y.

In a triangle the sum of the interior angles is 180 degrees.

m∠Z is greater than the sum of the angles X and Y.

Two angles cannot be equal to or greater than 90 degrees because the sum of the angles exceeds 180 degrees.

Therefore, the sum of the angles X and Y must be less 90 degrees.

So, answer is D)m∠X + m∠Y < 90°

Solnce55 [7]3 years ago

4 0

Since z is GREATER THAN two angles in the triangle it must be obtuse..
meaning it is GREATER THAN 90 degrees this means that the other two angles cannot equal 90 degrees they have to be less

m∠X + m∠Y < 90°

You might be interested in

(b) If the sum of two consecutive odd numbers is 48, find the numbers.

Rudiy27

Answer:

23, 25

Step-by-step explanation:

let the first number be represented as A, since there are two odd numbers, the second number would be A + 2

A + A+2 = 48

2A + 2 = 48

2A = 48 - 2

2A = 46 ( divide both sides by 2)

A = 23

since we know the next number to be A + 2

= 23 + 2 = 25

the two numbers are 23 and 25

6 0

2 years ago

A company is building a new park in the shape of a circle with a 25 ft diameter. Portions of the new park will be covered with g

emmasim [6.3K]

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Step-by-step explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius = $\dfrac{25}{2}=12.5\ ft$

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle = $\pi r^2$

Area of rectangle = length x width

Area of triangle = 0.5 x base x height

Area of circle = $(3.14)(12.5)^2=490.625\ \text{ft}^2$

Area of rectangle = 20 ft x 10ft = 200 ft²

Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²

Required area = 490.625 -200+22.75 = 313.375 ft²

Hence, The area of the regions covered by grass is approximately 313.375 sq ft.

4 0

3 years ago

Five less than a number is 6 what is the equation?

MissTica

Answer:

n-5=6

Step-by-step explanation:

five less than a number is represented by n-5 and then it is equal to 6

6 0

4 years ago

Read 2 more answers

Identify the horizontal translation of the parent function f(x) = x^2<br> Y= (x+5)^2

qaws [65]

It will translate 5 to the left.

5 0

3 years ago

Wanda and Kyle want to compare the worth of their baseball cards. Wanda has 80 baseball cards and Kyle has 110 baseball cards. S

chubhunter [2.5K]

Answer:

Mean

Step-by-step explanation:

If Wanda has 80 baseball cards and Kyle has 110 baseball cards. Given that they know the total value of all their individual base ball cards, the worth of each baseball card will be derived by dividing the Total Worth of the cards by the number of cards. This is an example of Mean. Therefore they should use Mean to compare the worth of the cards.

Illustrative Example

If the Total Value of their cards are $500,

For Wanda, Value Per Card= $500/80 Cards =$6.25 per card

Similarly,

For Kyle, Value Per Card= $500/110 Cards =$4.55 per card

So we can see from this illustration whose card is with an higher price using the mean.

5 0

3 years ago