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iogann1982 [59]
3 years ago
11

Which statement BEST explains why the slope of each line segment formed by the hypotenuse of each triangle is the same? A) The t

riangles are similar. B) The triangles are congruent. C) The triangles share a point. D) The triangles are right triangles.
Mathematics
2 answers:
ehidna [41]3 years ago
6 0

Answer: a

Step-by-step explanation:

ivanzaharov [21]3 years ago
4 0

Answer: the answer a

Step-by-step explanation:because they just look alike

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Simplify expressions
charle [14.2K]
<h3>a) \frac{2}{5}  \div (  - \frac{3}{4} )</h3><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2>-  \frac{2}{5}  \div  \frac{3}{4}</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2>-  \frac{2}{5}  \times  \frac{4}{3}</h2><h3>■Multiply the fractions</h3>

<h2>-  \frac{8}{15}</h2>

<h3>Hence, Quotient =-  \frac{8}{15}</h3>

<h3>b) 0.4 \div  ( - 0.75)</h3><h3>■Convert the decimals into a fractions</h3>

<h2>\frac{2}{5}  \div ( -  \frac{3}{4} )</h2><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2>-  \frac{2}{5}  \div  \frac{3}{4}</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2>-  \frac{2}{5}  \times  \frac{4}{3}</h2><h3>■Multiply the fractions</h3>

<h2>-  \frac{8}{15}</h2><h3>Hence, Quotient is -  \frac{8}{15}</h3>

<h3>c)-  \frac{2}{5}  \div  \frac{3}{4}</h3><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2>-  \frac{2}{5}  \times  \frac{4}{3}</h2><h3>■Multiply the fractions</h3>

<h2>-  \frac{8}{15}</h2><h3>Hence, The Quotient is -  \frac{8}{15}</h3>
4 0
3 years ago
X and y-intercept of y=X-5
aksik [14]
The x-intercept is when y = 0
y = x - 5 → 0 = x - 5 → x = 5

The y-intercept is when x = 0
y = x - 5 → y = 0 - 5 → y = - 5

Answer: x-intercept is (5, 0), y-intercept is (0, -5)
4 0
3 years ago
Every US. Citizen has a 9 digit social security number. The first 3 digits are a geographic code, the next two digits are determ
Ilia_Sergeevich [38]

Probability of success =

         (number of possibilities that would be considered successful)
divided by
         (total number of different possible outcomes) .

Total number of different possible outcomes =

       total number of different possible values of the last 2 digits

   =  the quantity of numbers from  00  to  99

   =    100 of them .

The number of possibilities that will match your age  =  only 1 .

Probability that the last 2 digits match your age = 1/100  =  0.01  =  1 % .
6 0
3 years ago
A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fe
Finger [1]

Answer:

<em>Fencing required = 1586 m</em>

Step-by-step explanation:

The given statements can be thought of a triangle \triangle ABC as shown in the diagram attached.

A be the 1st vertex, B be the 2nd vertex and C be the 3rd vertex.

Distance between 1st and 2nd vertex, AB = 435 m

Distance between 2nd and 3rd vertex, AC = 656 m

\angle A =49^\circ

To find:

Fencing required for the triangular field.

Solution:

Here, we know two sides of a triangle and the angle between them.

To find the fencing or perimeter of the triangle, we need the third side.

Let us use <em>Cosine Rule </em>to find the third side.

Formula for cosine rule:

cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

\Rightarrow cos 49^\circ = \dfrac{656^{2}+435^{2}-BC^{2}}{2\times 435\times 656}\\\Rightarrow BC^2 = 430336+189225-2 (435)(656)cos49^\circ\\\Rightarrow BC^2 = 430336+189225-570720\times cos49^\circ\\\Rightarrow BC^2 =619561-570720\times cos49^\circ\\\Rightarrow BC \approx 495\ m

Perimeter of the triangle = Sum of three sides = AB + BC + AC

Perimeter of the triangle = 435 + 495 + 656 = <em>1586 m</em>

<em></em>

<em>Fencing required = 1586 m</em>

4 0
3 years ago
Marcy bottles 17 gallons of root beer and 12 gallons of punch. She sells her drinks in quart bottles. How many bottles does she
densk [106]


we know that 1 gallon = 4 quarts so...

17 gallons of root beer + 12 gallons of punch = 29 gallons in total

29 gallons ÷ 4 = 7.25 quarts

so she needs 7 bottles of quarts for her 29 total gallons.

6 0
3 years ago
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