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krek1111 [17]
2 years ago
5

Point Z is equidistant from the vertices of ΔTUV.

Mathematics
2 answers:
Naily [24]2 years ago
4 0

Answer:

option C. Angle BTZ Is-congruent-to Angle BUZ

Step-by-step explanation:

nadya68 [22]2 years ago
3 0

Answer:

option C. Angle BTZ Is-congruent-to Angle BUZ

Step-by-step explanation:

Point Z is equidistant from the vertices of triangle T U V

So, ZT = ZU = ZV

When ZT = ZU  ∴ ΔZTU is an isosceles triangle ⇒ ∠TUZ=∠UTZ

When ZT = ZV  ∴  ΔZTV is an isosceles triangle ⇒ ∠ZTV=∠ZVT

When ZU = ZV  ∴ ΔZUV is an isosceles triangle ⇒ ∠ZUV=∠ZVU

From the figure ∠BTZ is the same as ∠UTZ

And ∠BUZ is the same as ∠TUZ

So, the statement that must be true is option C

C.Angle BTZ Is-congruent-to Angle BUZ

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Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and
scoundrel [369]

Answer:

The correct answer is the last option, that is, 112 + 25m + 45 = 50 + 60m

Step-by-step explanation:

We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 112+45+25m

We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 50 + 60m

In order for amount of money to be equal in accounts of both the runners, we set up:

112+45+25m=50+60m

Upon rewriting the left hand side using commutative law, we get:

112+25m+45=50+60m

Therefore, we can see that the last option is the correct answer.

7 0
2 years ago
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The sum of the squares of two consecutive even integers is 884. find the integers
andriy [413]
2x + 2x +2 are the integers
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8 x^2 +8x -880 = 0

x = 10
Therefore, the integers are:
20 and 22




3 0
2 years ago
Alison wants to distribute the carnations and roses equally among the 6 flower shops. Factor the expression from Part A using 6
mixer [17]

Answer:

6

Step-by-step explanation:

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2 years ago
If m□ebd=4x-8 and m□ebc=5x+20,find the value of x and m□ebc
RoseWind [281]

m□ebd=4 x-8 and m□ebc=5 x+20

This is solvable only if e b is the initial side and b d and b c lies on opposite side of each other and lies on a line i.e c,b,d are Collinear.

∠ebd and ∠ebc will form a linear pair.The meaning of linear pair is that angles forming on one side of a straight line through a common vertex which are adjacent is 180°.

i.e

∠ ebd + ∠ebc = 180°

4 x- 8 + 5x + 20= 180°

adding like terms

⇒ 9 x +12 =180°

⇒ 9 x = 180° - 12

⇒ 9 x = 168°

⇒ x =( 168/9)°=(56/3)°

now  m□ebc =5 x +20

       = 5 × 56/3 + 20

       = 280/3 + 20

      =340/3

m□ebc=( 340/3)°

So, solution set is x =(56/3)° and  m□ebc =(340/3)°

5 0
2 years ago
Which explains why a caterpillar might look like a dangerous snake? *
Arte-miy333 [17]

Answer:

the answer is D

Step-by-step explanation:

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