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salantis [7]
3 years ago
10

At the beginning of a month your account balance was $53. During the month you deposited $562 and wrote a check for $486. What w

as your balance at the end of the month
Mathematics
1 answer:
alexdok [17]3 years ago
5 0

53+562-486= 129

Add then subtract

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What is the common point between lines y = ½ x + 4 and y = x – 4?
nirvana33 [79]
1/2X+4=X-4
1/2X+8=X
8=1/2X
16=X

(Pick one of the equations )
y=1/2X+4
y=(1/2)(16)+4
y=12

point: (16,12)
7 0
3 years ago
CAN SOMEONE PLEASE PLEASE PLEASE HELP ME, YOU’LL GET FREE EASY POINTS IF YOU GIVE ME THE RIGHT ANSWER !!
bekas [8.4K]

Answer:

  1. reflection across BC
  2. the image of a vertex will coincide with its corresponding vertex
  3. SSS: AB≅GB, AC≅GC, BC≅BC.

Step-by-step explanation:

We want to identify a rigid transformation that maps congruent triangles to one-another, to explain the coincidence of corresponding parts, and to identify the theorems that show congruence.

__

<h3>1.</h3>

Triangles GBC and ABC share side BC. Whatever rigid transformation we use will leave segment BC invariant. Translation and rotation do not do that. The only possible transformation that will leave BC invariant is <em>reflection across line BC</em>.

__

<h3>2.</h3>

In part 3, we show ∆GBC ≅ ∆ABC. That means vertices A and G are corresponding vertices. When we map the congruent figures onto each other, <em>corresponding parts are coincident</em>. That is, vertex G' (the image of vertex G) will coincide with vertex A.

__

<h3>3.</h3>

The markings on the figure show the corresponding parts to be ...

  • side AB and side GB
  • side AC and side GC
  • angle ABC and angle GBC
  • angle BAC and angle BGC

And the reflexive property of congruence tells us BC corresponds to itself:

  • side BC and side BC

There are four available congruence theorems applicable to triangles that are not right triangles

  • SSS -- three pairs of corresponding sides
  • SAS -- two corresponding sides and the angle between
  • ASA -- two corresponding angles and the side between
  • AAS -- two corresponding angles and the side not between

We don't know which of these are in your notes, but we do know that all of them can be used. AAS can be used with two different sides. SAS can be used with two different angles.

SSS

  Corresponding sides are listed above. Here, we list them again:

  AB and GB; AC and GC; BC and BC

SAS

  One use is with AB, BC, and angle ABC corresponding to GB, BC, and angle GBC.

  Another use is with BA, AC, and angle BAC corresponding to BG, GC, and angle BGC.

ASA

  Angles CAB and CBA, side AB corresponding to angles CGB and CBG, side GB.

AAS

  One use is with angles CBA and CAB, side CB corresponding to angles CBG and CGB, side CB.

  Another use is with angles CBA and CAB, side CA corresponding to angles CBG and CGB, side CG.

3 0
1 year ago
Read 2 more answers
The inverse of an exponential function is the logarithmic function. True or False?
patriot [66]
For one-to-one functions, the inverse of an exponential function is a logarithmic function and the inverse of a logarithmic function is an exponential function.
For example:
f(x)=e^{x}
f^{-1} (x)=ln\ x

f(x)=ln\ x
f^{-1} x=e^{x}
5 0
3 years ago
if jose makes 14 of his 20 free throws in basketball game what is his free throw shooting prercentage
patriot [66]
You can see he makes 14/20 of his free throws so the percentage will be:
14*100/20 =  70 % :)))
i hope this is helpful 
have a nice day 
5 0
3 years ago
4(p – 4) &gt; 12. Solve for p.
statuscvo [17]

Answer:

p > 7

Step-by-step explanation:

Distribute the parenthesis on the left side

4p - 16 > 12 ( add 16 to both sides )

4p > 28 ( divide both sides by 4 )

p > 7


7 0
3 years ago
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