Really need help on these two math questions ??

name the theorem or postulate that lets you conclude triangle ABD is congruent to triangle CBD with only one additional step

evablogger [386]

Answer:

The answer is the first one ⇒ AAS

Step-by-step explanation:

∵ DB ⊥ AC

∴ m∠DBA = m∠DBC = 90° ⇒ (1)

∵ m∠A = m∠C ⇒ (2) given (from figure)

∵ DB is a common side in the two Δ ⇒ (3)

From (1) , (2) and (3)

∴ Δ ABD is congruent to Δ CBD ⇒ AAS

4 0

3 years ago

Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 250 tickets from a previous vi

Nataly_w [17]

Considering the definition of equation, the number of games Meredith need to play is 12.

<h3>What is an equation</h3>

An equation in mathematics is defined as an equality established between two expressions, in which there may be one or more unknown values, called unknowns, in addition to certain known data.

The unknown or unknowns represent the number (or numbers), if any, that make the equality true. This unknown number or numbers represent the solution of the equation. So when changing the unknown or unknowns by the solution, the equality must be true.

<h3>Solution in this case</h3>

Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. This is represented by:

y=6x + 250

where:

x represents the number of games Meredith plays.
y represents the number of tickets she needs for the prize.

Meredith needs 322 tickets to exchange for the prize she wants. This is, y=322.

Replacing in the expression y=6x + 250:

322= 6x + 250

Solving taking into account that:

When a value you are adding is passed to another side of the equation, this value will be subtracting.
If a value is multiplying it goes to the other side of the equation by dividing.

322 - 250=6x

72= 6x

72÷6= x

Finally, the number of games Meredith need to play is 12.

Learn more with this problem:

brainly.com/question/15564756

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7 0

2 years ago

How is Addy 4+ -4 similar to adding 4+4 how is it different use the words and models to explain

Margarita [4]

4- (+) (-4) is similar to 4+4 by the rule of addition in integers that is if Negative + Negative then Add the number and put the sign of greater number.

<h3>What is integer?</h3>

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the corresponding positive numbers are the negative numbers. An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples. Three categories of integers exist: Zero (0) (0) Good integers (Natural numbers) Integer Negatives (Additive inverse of Natural Numbers).

The rules of addition in integers says,

- + - = +

by this,

4-(-4)=8

by concept of addition,

4+4=8

To know more about integer,

brainly.com/question/15276410?referrer=searchResults

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3 0

1 year ago

James sets off from home on his bike.The graph shows his journey.A)what is James average speed on his outward journey?B)How long

katen-ka-za [31]

Answer:

a) ~10.58 km/h

b) 45 min

c) 15 km/h

Step-by-step explanation:

a) 45km for 4 hours and 15min (4.25 hours) = 45 / 45.25 ~= 10.58 km/h

b) From 4:15 to 5 = 45min

c) 45km for 3 hours (5:00 to 8:00) = 45 / 3 = 15 km/h

NOTE!

The author actually wanted the answer on A) to be 10 km/h and the journey to be 4.5 hours (4 hours 30min) but instead they made it 4.25 (as shown on the graph, since 1 square is 30 minutes).

5 0

3 years ago

1) (3.1 x 10^1)(4.3 x 10^-6)

allsm [11]

Answer:0.0001333

Step-by-step explanations :

8 0

3 years ago