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Harman [31]
2 years ago
12

1. 3(x+15)=572. 2(x-9)=263. 4(x-12)=-32

ormula1" title="solve \: for \: x" alt="solve \: for \: x" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
White raven [17]2 years ago
3 0

Step-by-step explanation:

1)3(x+15)=57

3x+45=57

3x=57-45

3x=12

x=12/3.

x=4

2)2(x-9)=26

2x-18=26

2x=26+18

2x=44

x=44/2

x=22

3)4(x-12)=-32

4x-48=-32

4x=-32+48

4x=+16(greater number sign)

x=16/4

x=4

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A soccer team estimates that they will score on 77​% of the corner kicks. In next​ week's game, the team hopes to kick 1414 corn
andrezito [222]

Answer:

18.66521%

Step-by-step explanation:

It seems all of the numbers are duplicated, the correct number should be 7%, 14 corner kicks, and 2 opportunities.  

The team has 7%(x=0.07) chance to score so that means the chance to not scoring will be: y= 1-x = 100%-7%= 93%. There are 14 opportunities and we want to know the probability to get exactly 2 scores. The calculation will be:

P(x=2)= 2C14 * x^2 * y^12

P(x=2)=91 * 0.07^2 * 0.93^12= 18.66521%

6 0
3 years ago
3<br> 100°<br> B.<br> 48<br> 270<br> o<br> ZA=<br> degrees<br> b=<br> (=
solong [7]

Answer:

Angle A = 53

Step-by-step explanation:

All triangles add up to 180 so...

Lets use x to describe angle A

100+27+x=180

127+x=180

x=53

I'm confused what its asking about b and c but hope this helps a bit :)

6 0
2 years ago
The given term is 6n-38,<br> can u find the first four terms in the sequence
Hunter-Best [27]

Answer:

- 32, - 26, - 20, - 14

Step-by-step explanation:

To find the first 4 terms , substitute n = 1, 2, 3, 4 into the rule

a₁ = 6(1) - 38 = 6 - 38 = - 32

a₂ = 6(2) - 38 = 12 - 38 = - 26

a₃ = 6(3) - 38 = 18 - 38 = - 20

a₄ = 6(4) - 38 = 24 - 38 = - 14

3 0
2 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
Given the information below, QRS is UVT similar to ? If so, give the scale factor.
viktelen [127]
Look\ at\ the\ picture.\\\\\Delta QRS\sim\Delta UVT\ if\ \frac{|QR|}{|UV|}=\frac{|RS|}{|VT|}\\\\\frac{|QR|}{|UV|}=\frac{8}{18}=\frac{4}{9}\\\\\frac{|RS|}{|VT|}=\frac{16}{34}=\frac{8}{17}\\\\Answer:A.\ No,\ the\ triangles\ are\ not\ similar.

4 0
3 years ago
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