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3 years ago

Complete each statement from the information given and state the reasons and the triangle criterion you used.

Mathematics

1 answer:

TiliK225 [7]3 years ago

5 0

Answer:

Triangle GAS = Triangle IOL by rule AAS

Step-by-step explanation:

The points must be ordered correctly so they correspond within the triangles. Point G = Point I, Point A = Point O, Point S = Point L.

A rule for determining Triangle Congruency is AAS. If two angles and a side of a triangle are equal to one of another triangle, the triangles are congruent.

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Evaluate and simplify the expression when a = 4 and b = -1.

Gwar [14]

Answer:

$\frac{3}{2}$

Step-by-step explanation:

$\frac{5 - 2(a + 3b)}{2}$

substitute a = 4 and b = -1

$= \frac{5 - 2(4 + 3( - 1))}{2}$

expand and simplify the numerator

$= \frac{5 - 2(4 - 3)}{2}$

$= \frac{5 - 2(1)}{2}$

$= \frac{5 - 2}{2}$

$= \frac{3}{2}$

5 0

3 years ago

1. The range of guest on New Year's Eve was 15>

leonid [27]

Answer:

1.False

2. True

3.) True

4. False

5.) False

6.) True

Step-by-step explanation:

1.)

Range = maximum - minimum

New year's eve :

Maximum = 22 ; minimum = 3

Range = 22 - 3 = 19

2.)

Median for Thanksgiving = 17

50% up to 17 ;hence the remaining 50% is also 17 and above

4.)

IQR for Thanksgiving

Q3 - Q1

23 - 12 = 11

5.)

The median number of people at new year's eve for dinner was 7 (line in between the box)

6.)

3/4th of new year eve's dinner = Q3 = 15

1/4 = Q1 ; have up to 5 people

Therefore ; the remaining (1 - 1/4) = 3/4 have 5 and above

7 0

3 years ago

Read 2 more answers

If Free Yer Assets Bank (FYAB) will give you 0.25% compounded quarterly and I.M.A.Q.T.π bank will give you 0.23% interest compou

ivann1987 [24]

Answer:

FYAB gives a better deal.

Step-by-step explanation:

Compound interest:

$A = P(1 + \dfrac{r}{n})^{nt}$

Continuously compounded interest:

$A = Pe^{rt}$

For the quarterly compounded interest, r = 0.25%, and n = 4.

$2P = P(1 + \dfrac{0.0025}{4})^{4t}$

$1.000625^{4t} = 2$

$\log (1.000625^{4t}) = \log 2$

$4t(\log 1.000625) = \log 2$

$t = \dfrac{\log 2}{4\log 1.000625}$

$t = 277$

For the continuously compounded interest, r =0.23%

$A = Pe^{rt}$

$2P = Pe^{0.0023t}$

$2 = e^{0.0023t}$

$\ln 2 = \ln e^{0.0023t}$

$\ln 2 = 0.0023t$

$t = \dfrac {\ln 2}{0.0023}$

$t = 301$

The quarterly compounded doubles in 277 years.

The continuously compounded doubles in 301 years.

Answer: FYAB gives a better deal.

7 0

3 years ago

A) 10 - 3(2a + 3) + 4(a - 6) Simplify

Veseljchak [2.6K]

2becaude 10a -3 =7 colonial

7 0

3 years ago

Read 2 more answers

Please help!!!!!!!!!

saul85 [17]

Answer:

ascending order:

angle KLM

angle KML

angle LKM

Step-by-step explanation:

angle opposite to the largest side is the largest angle:

largest angle = angle LKM

angle opposite to the smallestest side is the smallest angle:

smallest angle = angle KLM

3 0

3 years ago