All categories

3 years ago

PLEASE HELP ASAP!!!!!!!

Mathematics

1 answer:

vlada-n [284]3 years ago

4 0

Answer:

A.) the SSS Postulate

Step-by-step explanation:

Two sides of each triangle are marked congruent, and the third side is shared by the triangles. Hence, all three sides are congruent, and the SSS Postulate applies.

You might be interested in

If you toss 3 coins 10,000 times, how many times would you expect that exactly 2 heads appear? 3 10,000 3,750 2,500

Simora [160]

The table below shows the outcome of tossing 3 coins

The probability of getting two heads is 3/8

If the three coins tossed 10000 times, the probability of exactly two heads appear is = (3/8) × 10000 = 3750 times

4 0

3 years ago

If z1= 3+3i and z2=7(cos(5pi/9) + i sin (5pi/9)), then z1/z2= blank

mixas84 [53]

$z1=\stackrel{a}{3}+\stackrel{b}{3}i~~ \begin{cases} r = \sqrt{a^2+b^2}\\ r = \sqrt{18}\\[-0.5em] \hrulefill\\ \theta =\tan^{-1}\left( \frac{b}{a} \right)\\ \theta =\frac{\pi }{4} \end{cases}~\hfill z1=\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right] \\\\[-0.35em] ~\dotfill$

$\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right]} {7\left[\cos\left( \frac{5\pi }{9} \right) i\sin\left( \frac{5\pi }{9} \right) \right]} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{division of two complex numbers} \\\\ \cfrac{r_1[\cos(\alpha)+i\sin(\alpha)]}{r_2[\cos(\beta)+i\sin(\beta)]}\implies \cfrac{r_1}{r_2}[\cos(\alpha - \beta)+i\sin(\alpha - \beta)] \\\\[-0.35em] ~\dotfill$

$\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{\pi }{4}-\frac{5\pi }{9} \right)+i\sin\left( \frac{\pi }{4}-\frac{5\pi }{9} \right) \right] \\\\\\ \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{-11\pi }{36} \right) +i\sin\left( \frac{-11\pi }{36} \right) \right]\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{83\pi }{36} \right) +i\sin\left( \frac{83\pi }{36} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{z1}{z2}\approx 0.348~~ + ~~0.496i~\hfill$

6 0

3 years ago

Determine if the triangles, VWZ and VXY, are similar. If so, identify the similarity criterion.

jenyasd209 [6]

Answer:

The triangles Δ VWZ and Δ VXY are similar by AA criteria.

Step-by-step explanation:

See the attached diagram.

Here, VZ = 16 in and ZY = 8 in. Again, VW = 18 in and WX = 9 in.

Therefore, $\frac{VZ}{ZY} = \frac{VW}{WX} = \frac{2}{1} = 2$

So, line WZ divides the lines VY and VX in the same ratio 2 : 1.

So, Line WZ ║ Line XY

Hence, ∠ XYV = ∠ WZV {The corresponding angles as VY is a transverse}

Again, ∠ YXV = ∠ ZWV {The corresponding angles as VX is a transverse}

Therefore, the triangles Δ VWZ and Δ VXY are similar by Angle-Angle i.e. AA criteria. (Answer)

5 0

3 years ago

Roger is sixteen years old and eats granola bars. He attends P.R. Walker High School. In this example, is the independent variab

adelina 88 [10]

The example in that question, the age of Roger is the independent variable. This means that the variable left is <span>granola bars. This make it the dependent variable since it depends on the age of Roger.

The age does not depend on the amount of </span>granola bars eaten by Roger but the amount of <span>granola bars may depend with age of Roger.</span>

8 0

3 years ago

La distancia en Km. De Santo Domingo a Puerto Plata está dada por la expresión D = 4x³- 10x² -6. ¿Cuál es la distancia aproximad

neonofarm [45]

Answer:

The distance when x = 6km is D = 498 KM

Step-by-step explanation:

Here, given the formula for the distance, we want to find the distance D given the value of x to be 6km

What we do simply here is to substitute the value 6km as x in the equation

The equation is

D = 4x^3 - 10x^2 -6

Substituting x = 6, we have

D = 4(6^3) -10(6^2) -6

D = 864-360-6

D = 498 km

8 0

3 years ago