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3 years ago

Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure of a base angle.

Mathematics

2 answers:

Alik [6]3 years ago

5 0

Answer:

The answer is A, the measure of angle Z is 45°.

Step-by-step explanation: According to base angle theorem for iscoscles triangles, the base angles must be the same angle measure if the sides opposite to them are congruent. Since it is an iscoceles triangle, they are automatically congruent. This means that Y is 90 degrees. This fits into triangle sum theorem because if Z is 45 degrees, than x is also 45 degrees making a viable triangle. This means that this is the only one that actually applies. B is wrong because of triangle sum theorem, C is wrong because of triangle sum theorem, and D is wrong because of the SSS postulate and CPCTC.

Blizzard [7]3 years ago

5 0

Answer:

A. Angle Y is a right angle.

B. The measure of angle Z is 45°.

E. The perpendicular bisector of Line segment X Z creates two smaller isosceles triangles.

Step-by-step explanation:

I hope these are correct and help you guys.

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Calculate the sum of the first 30 terms in the sequence that begins with 70,65,60

Afina-wow [57]

$\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle \Large \boldsymbol{} a_1=70 \ ; \ d=-5 \\\\S_n=\frac{a_1+a_n}{2} \cdot n \ ; \ a_n=a_1+(n-1)d \Longrightarrow \\\\\\ S_{30}=\frac{70+70-29\cdot5}{2} \cdot 30 =-75 \\\\\\Answer: S_{30}=-75$

4 0

3 years ago

Find two numbers that have a sum of -2 and a product of -48 (please show work if possible)

andreev551 [17]

Answer: -8 and 6

Step-by-step explanation:

factors of 48: 1,2,4,6,8,12,24,48

1 x 48

2 x 24

4 x 12

6 x 8

for a negative product, one of the factors must be negative and the other positive.

for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.

and then we check:

-8 x 6 = 48

-8 + 6 = -2

5 0

3 years ago

Calculate the perimeter for the parallelogram if a= 7.6 , b= 5.9 and c= 14.6

kolezko [41]

Although the problem gives the value of b, it's really not needed.

Opposite sides of a parallelogram are congruent, so we just need to calculate: 2a + 2c = P

Plug the given values in:

2 * 7.6 + 2 * 14.6 = 44.4 units, or choice (C).

4 0

3 years ago

Help pleaseeeee 20 points

liberstina [14]

It’s the second one!

3 0

3 years ago

Benjamin started her walk from the front door of her ground floor apartment. She walked 6 meters to the corner of the building a

notsponge [240]

Answer:

<u>4 meters.</u>

Step-by-step explanation:

Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position.

So, the total distance Benjamin walked is 10m + 6m = 16m

Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.

The difference between the distance she walked and her displacement is 4 meters.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

6 0

3 years ago