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nalin [4]
3 years ago
5

_______________________________

Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0

Answer:

Step-by-step explanation:

-4x+20<8

20-8<4x

12<4x

3<x

x>3

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3 &amp; 4, And tell explanation<br><br> (P.S: Sorry for my sloppy handwriting)
Kazeer [188]
3) Altitude / Time = y2 - y1 / x2 - x1 = 30 - 60 / 6 - 3
 m = -30 / 3
 m = -10

In short, constant rate of change is y = -10x

b) Constant proportionality exists between two quantities, as the amount of changing in Altitude over fixed period of time is same (constant) for every instance. 

4) Sales / Day = y2-y1 / x2-x1 = 2,000 - 1,000 / 6 - 3
m = 1000 / 3
m = 333.3

a) In short, Constant relationship is y = 333.3x

b) Constant proportionality exists between two quantities, as the amount of changing in Sales over fixed days is same (constant) for every instance. 

Hope this helps!
5 0
4 years ago
5/7^3=5(7^x)<br> Find X.<br> Thanks.
Zina [86]
Hello,

\dfrac{5}{7^3}=5*7^x\\&#10;5*7^{-3}=5*7^x\\&#10;&#10;\boxed{x=-3}&#10;
8 0
3 years ago
Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Anettt [7]

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

  • <u>AB = RS</u>
  • <u>∠ABC ~ ∠RST</u>
  • <u>ΔABC = ΔRST</u>
  • <u>m∠BAC = m∠SRT</u>

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

  • <u>AB = RS</u>; Image formed by rigid transformation
  • <u>∠ABC ~ ∠RST</u>; Definition of similarity
  • <u>ΔABC = ΔRST</u>; By definition of congruency
  • <u>m∠BAC = m∠SRT</u>; by the definition of congruency

Learn more here:

brainly.com/question/11787764

7 0
3 years ago
I need to figure out if I'm doing this correctly
kogti [31]

To prove that triangles TRS and SUT are congruent we can follow these statements:

1.- SR is perpendicular to RT: Given

2.-TU is perpendicular to US: Given

3.-Angle STR is congruent with angle TSU: Given.

4.-Reflexive property over ST: ST is congruent with itself (ST = ST)

From here, we can see that both triangles TRS and SUT have one angle of 90 degrees, another angle that they both have, and also they share one side (ST) ,then:

5.- By the ASA postulate (angle side angle), triangles TRS and SUT are congruent

5 0
1 year ago
~PLEASE HELP!~
Gwar [14]
I'm not sure, but what I got was -8.5, since it is only stating that it is -17 and 5, and you need to figure out Point B, when it is between A and 0. So, you don't pay attention to 1-5. You only want -17 through 0. -17 divided by two would be -8.5
5 0
4 years ago
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