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raketka [301]
3 years ago
11

Which of the following are reasons that justify why the triangles are congruent ?

Mathematics
2 answers:
Igoryamba3 years ago
8 0

Answer:

ASA triangle congruence therom

Step-by-step explanation:


vampirchik [111]3 years ago
8 0

A,D

CPCTC is corresponding parts of congruent triangles are congruent

there is no SSA theorem

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A bowl contains blueberries and strawberries there are a total of 20 bares in the bowl the ratio blueberries to strawberries is
Alexus [3.1K]

Answer:

16 blueberries and 4 strawberries

Step-by-step explanation:

Given:

A bowl contains blueberries and strawberries there are a total of 20 berries in the bowl.

The ratio blueberries to strawberries is 4 to 1

Question asked:

How many of each berry are in the bowl ?

Solution:

Ratio of blueberries and strawberries = 4 : 1

Let ratio be x

Number of  blueberries in the bowl = 4x

Number of strawberries in the bowl = 1x=x

As total berries in the bowl are 20 and the bowl contains both blueberries and strawberries in the ratio 4 : 1 :-

4x+x=20\\5x=20\\

Dividing both sides by 5

x=4

Number of strawberries in the bowl = x = 4

Number of  blueberries in the bowl = 4x = 4\times4=16

Thus, there are 16 blueberries and 4 strawberries in the bowl.

5 0
3 years ago
Read 2 more answers
A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
EleoNora [17]

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
7 0
3 years ago
Studying a group of children from first grade through high school to see the effect of pre-schooling on educational success woul
aleksandr82 [10.1K]

Answer:

Longitudinal study

Step-by-step explanation:

Information is collected over extended periods of time in a longitudinal study, but in cross-sectional, natural observation, and experimental studies, information is collected over short periods of time or in one time only. Based on the choices given, this type of study would be a longitudinal study.

4 0
2 years ago
Your friend is looking at laptops for college, and is comparing the different
Dominik [7]

Answer:

B. h = 7.4 inches

Step-by-step explanation:

height of the laptop screen = h

d = 12.1 in.

w = 9.6 in.

We are given the formula,

d = √(w² + h²)

Plug in the values and solve for h

12.1 = √(9.6² + h²)

Square both sides

12.1² = 9.6² + h²

146.41 = 92.16 + h²

146.41 - 92.16 = h²

54.25 = h²

√54.25 = h

7.4 = h (nearest tenth)

h = 7.4 inches

7 0
2 years ago
Which of the following lists the order of operations in the correct order?
love history [14]

Answer:

whats the list

Step-by-step explanation:

8 0
3 years ago
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