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2 years ago

Determine how (if possible) the triangles can be proved similar.

Mathematics

1 answer:

HACTEHA [7]2 years ago

7 0

Answer:

opposite sides are congruent and parrallel

Step-by-step explanation:

im pretty sure im correct because i learned this in 10th grade for Algebra

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The Jackson family went out to dinner

vovikov84 [41]

Answer: Amount that the Smith family need to pay for the meal including tax and tip = 53.47.

Step-by-step explanation:

Since we have given that

Price of the meal = 43.45

Rate of sales tax = 7%

Amount becomes after the sales tax is given by

$\frac{7}{100}\times 43.45\\\\\frac{304.15}{100}\\\\=3.0415\\\\\text{Amount}=43.45+3.0415=46.4915$

Rate of tips over meal and sales = 15%

Amount of tips is given by

$\frac{15}{100}\times 46.4915\\\\=0.15\times 46.4915\\\\=6.974$

So, Amount becomes

$46.4915+6.974\\\\=53.465\\\\=53.47$

Hence, Amount that the Smith family need to pay for the meal including tax and tip = 53.47.

3 0

2 years ago

Which table and graph represents y=3x

LekaFEV [45]

Answer:

Table A and Graph B

Step-by-step explanation:

It is Graph B because of the equation's slope which is 3. This 3 is represented as $\frac{3}{1}$ as a slope or as a "rise over run", this means that the graph goes up by 3 units while going right by 1 unit.

It is Table A because the points in the graph match with the points which Graph B goes through.

7 0

2 years ago

In Neil's city, the temperature is 72.6 degrees and is rising 1.3 degrees each hour. In Sheppard's city, the temperature is 80.4

klio [65]

Answer:

2.5 hours

Step-by-step explanation:

Given that :

Temperature in Neil's city :

72.6° and rising by 1.3° per hour

Temperature in Sheppard's city :

80.4° and dropping by 1.82° per hour

In how many hours will the temperature in Neil's city be no less than the temperature in Sheppard's city

Let number of hours = h

Hence, Neil city :

72.6 + 1.3h

Sheppard city:

80.4 - 1.82h

72.6 + 1.3h ≥ 80.4 - 1.82h

1.3h + 1.82h ≥ 80.4 - 72.6

3.12h ≥ 7.8

h ≥ 2.5

Two and half hours (2 hours 30 minutes)

8 0

2 years ago

Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slop

OLEGan [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The line is $y = -4 x$

Step-by-step explanation:

From the question we are told that

The line is $y = \frac{1}{4} x + 8$

The point is P(0,0 )

Generally the equation for a line is $yn = mx + c$

Now comparing this with the given equation we see that

$m =\frac{1}{4} = slope$

$C =8 = intercept$

Generally the slope of the perpendicular to the given line is mathematically evaluated as

$m_1 = - \frac{1}{m}$

=> $m_1 = - \frac{1}{ \frac{1}{4}}$

=> $m_1 = -4$

Generally from the univesal equation of a line and the given point we have that

y = mx + c at p(0,0) and $m_1 = -4$ is

0 = -4 (0 ) + c

=> c = 0

Hence the equation perpendicular to the line given at the point given is

$y = -4 x$

8 0

2 years ago

Multiply and simplify: 3a(4a2 – 5a + 12)

DochEvi [55]

3a(4a²-5a+12)

12a³-15a²+36a

~Hope this helped!~

3 0

2 years ago