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2 years ago

How can i know if the triangles are congruent ?

Mathematics

2 answers:

MrRissso [65]2 years ago

7 0

If you use the SAS theorem, you can prove the triangles are congruent. Due to vertical angles, we have one angle, and we know one side is congruent. In order to prove these triangles are simillar, we need another side

Mrac [35]2 years ago

7 0

ASA stands for "angle, side, angle" and means that we have two triangles where weknow two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, thetriangles are congruent.

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What are the steps for this inequality: 6z < 48

cestrela7 [59]

Answer:

z<8

Step-by-step explanation:

First: write down the equation : 6z<48

Second: divide both sides with 6 (since its the only number that can be divided for both sides)

Third: then you'll get z<8

4 0

3 years ago

Please help meeee I don't know this

Vanyuwa [196]

Answer:

$\boxed {m = -\frac{5}{7}}$

Step-by-step explanation:

Use the Slope Formula to determine the slope of two given points:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

First Point: $(x_{1} , y_{1})$

Second Point: $(x_{2}, y_{2})$

-Substitute both points:

First Point: $(5, 11)$

Second Point: $(19, -1)$

$m = \frac{-1 - 11}{19 - 5}$

-Solve for the slope:

$m = \frac{-1 - 11}{19 - 5}$

$m = \frac{-10}{14}$

$\boxed {m = -\frac{5}{7}}$

Therefore, the slope is $-\frac{5}{7}$

4 0

3 years ago

What's the surface area ratio & the volume ratio?? please help me ASAP!!

Ulleksa [173]

Answer:

Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = $\frac{r_1}{r_2}$ [ $r_1$ and $r_2$ are the radii of two circles]

2). Area scale factor = $\frac{(r_1)^2}{(r_2)^2}$

3). Volume scale factor = $\frac{(r_1)^3}{(r_2)^3}$

Volume scale factor Or Volume ratio = $\frac{V_A}{V_B}$

$\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}$

$\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }$

$\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}$

$\frac{r_1}{r_2}=\frac{6}{7}$

Therefore, scale factor = $\frac{r_1}{r_2}=\frac{6}{7}$

≈ 6 : 7

Area scale factor Or area ratio = $(\frac{r_1}{r_2})^2=(\frac{6}{7})^2$

= $\frac{36}{49}$

≈ 36 : 49

Volume scale factor or Volume ratio = $\frac{648}{1029}$

= $\frac{216}{343}$

≈ 216 : 343

4 0

2 years ago

A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha

PtichkaEL [24]

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

Volume formula of Sphere

V = $\frac{4}{3} \pi r^2$

Substitute 1 in for r

$\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi = 4.189$ = Volume

Finding the Height of a Cone

Volume formula for Cone: $V = \pi r^2\frac{h}{3}$

Solve for h

Multiply both sides by 3, then divide by pi and r^2.

$h = \frac{3V}{\pi r^2}$

Plug in the volume and the radius.

$h = \frac{3(4.189)}{\pi (1)^2}$

Simplify

$h = \frac{12.567}{\pi }$

h ≈ 4

4 is approximately the height.

#TeamTrees #PAW (Plant And Water)

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2 years ago

HELP ME PRETTY PLEASE (WILL PICK BRAINLIEST ANSWER)

barxatty [35]

Answer:

An infinite number of solutions

Step-by-step explanation:

This is because of all the 0's the zeros represent none and none is infinite. When in the matrix you are solving and solving is a infinite. When times 0 is 0 and when divided by 0 is infinite so an infinite amount of answers.

6 0

2 years ago