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3 years ago

Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options.

Mathematics

2 answers:

sergejj [24]3 years ago

4 0

Answer:

1. HL

2. SAS

3. SSS

Step-by-step explanation:

Triangles ABR and ACR share side AR (hypotenuse of two right triiangles).

Angles ABR and ACR are right angles.

Sides AB and AC are congruent.

Sides BR and CR are congruent.

1. You can use HL theorem, because two triangles have congruent pair of legs and congruent hypotenuses.

2. You can use SAS theorem, because two triangles have two pairs of congruent legs and a pair of included right angles between these legs.

3. You can use SSS theorem, because two triangles have two pairs of congruent legs and congruent hypotenuses.

bixtya [17]3 years ago

3 0

Answer

1. HL

2. SAS

3. SSS

Step-by-step explanation:

just took the test aced it

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Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. Here are th

Vesnalui [34]

Answer:

Part a:

"The unit has 7 or more rooms" in terms of X is given by the unit which has 7, 8, 9 or 10 rooms.

P{ X≥7}= 0.424

Part b:

The event {X > 7} in words is that the unit has more than 7 rooms. .

Part C:

A continuous random variable is given by intervals of numbers

A discrete random variable is the variable that is obtained by counting.

Step-by-step explanation:

Part a:

"The unit has 7 or more rooms" in terms of X is given by

{ X≥7} = {x=7} + {x=8} + {x=9} + {x=10}

the unit which has 7, 8, 9 or 10 rooms.

The probability of this event is given by

P{ X≥7} =P {x=7} + P {x=8} + P {x=9} + P {x=10}

P{ X≥7} = 0.198 + 0.149+ 0.053 + 0.024

P{ X≥7}= 0.424

Part b:

The event {X > 7} in words is that the unit has more than 7 rooms. This does not include the unit having 7 rooms.

Part C:

A continuous random variable takes all the values in the given interval as in part a.The random variable X takes the values between 7 and 10 inclusive of 7.

A discrete random variable is the variable that is obtained by counting as in part b. The variable X takes the values of the units with 8 , 9 or 10 rooms.

8 0

3 years ago

N^2+7n+15=5<br> show work please

ElenaW [278]

<span>n^2+7n+15=5
n^2 + 7n + 10 = 0
(n + 5)(n + 2) = 0
n + 5 = 0
n = -5
n + 2 = 0
n = -2

Answer: n = -5 and -2</span>

4 0

3 years ago

Read 2 more answers

A ladder is 12 metres long . It leans against a wall with one end on the ground 7 metres from the wall. The other end just reach

MissTica

Answer:

window sill height =9.75 meters

Step-by-step explanation:

Ladder^2=height^2+length^2

12^2=height^2+7^2

144=height^2+49

height^2=144-49=95

height=9.75

6 0

3 years ago

A medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A to

timofeeve [1]

Answer:

$\frac{37}{389}$

Step-by-step explanation:

Given that a medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A total of 389 older Americans who lived at home and were in good health were studied over a three-year period. While all of the 389 people took in at least 700 milligrams of calcium and 200 units of vitamin D through their normal diet, 187 of them were given additional supplements containing 500 milligrams of calcium citrate and 70 units of vitamin D daily. Of the 187 who took additional supplements, 11 of them suffered broken bones over the three-year period. Of the 202 older Americans who did not take the additional supplement, 26 of them suffered broken bones over the study period.

Group I Group II Total

n 187 202 389

favour x 11 26 37

The fraction of older Americans who were included in the study suffered broken bones during the three-year period

=Total x/total n

= $\frac{37}{389}$

4 0

3 years ago

14 bands volunteered but 7 played. How many lineups?

ankoles [38]

Answer:

3432

Step-by-step explanation:

Total bands = 14

Bands played = 7

The possible lineups can be calculated using Combination.

So, the possible lineups are 14C7

=> $\frac{14!}{7!(14-7)!}$

=> 3432

8 0

3 years ago