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aalyn [17]
3 years ago
14

Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.

Mathematics
2 answers:
ira [324]3 years ago
6 0

Answer:

  • A. 180 degrees rotation

Step-by-step explanation:

<u>The described is the rule:</u>

  • (x, y) → ( - x, - y)

This is the 180 degrees rotation

Correct option is A.

liberstina [14]3 years ago
4 0

Answer:

<em><u>Theory</u></em>

When the coordinates (x,y) of the triangle is rotated 180°, the new coordinates become (-x,-y).

Angle’s rotation maps triangle XYZ to triangle X’Y’Z’.

X(3, –6) maps to X’(–3, 6)

Y(1, –2) maps to Y’(–1, 2)

Z(–1, –5) maps to Z’(1, 5)

Which describes the rotation?

<u>180 degrees rotation </u><u>✓</u>

270 degrees clockwise rotation

90 degrees counterclockwise rotation

90 degrees clockwise rotation

<u>180° degree rotation</u> is the right answer.

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2. Solve the following system. Show all your work. {3x - 2y + 2z = 30 {-x + 3y - 4z = -33 {2x - 4y + 3z = 42
Semmy [17]
From the system of equations, we have 3 unknowns and 3 equations. Therefore, it can be solved. 

<span>3x - 2y + 2z = 30  (1)
</span><span>-x + 3y - 4z = -33  (2)
</span><span>2x - 4y + 3z = 42   (3)

We can write equation 2 x as a function of y and z and substitute the new equation to the other equations.
</span>x =3y - 4z + 33  (2)

3 (3y - 4z + 3)<span> - 2y + 2z = 30  (1)
</span>2 (3y - 4z + <span>3)</span> - 4y + 3z = 42   (3)

We simplify and solve the equations and we get values,

x = 4
y = -7
z = 2
6 0
3 years ago
In the name katherine, fine the ratio of consonants to vowels. PLEASE HELP 100 POINTS WORTH!!!!!!!​
Andrei [34K]

Answer:

5:4

Step-by-step explanation:

separate katherine into consonants:

kthrn

and vowels:

aeie

there are 5 consonants and 4 vowels, so the ratio is 5:4.

5 0
3 years ago
Read 2 more answers
PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 mont
xxTIMURxx [149]

Answer: $249,300

Step-by-step explanation:

The exact formula would be if I think this is right

PV = PMT(1-(1+r)^-n)/r with r & n adjusted for periodicity

= 1400(1-(1+.054/12)^-360)/(.054/12)

= $249,318.47

which you can round off to, say, $249,300 <------

note:

counterchechecked with a financial calculator

5 0
3 years ago
Will mark brainliest! Answer quickly please.
inn [45]
1400kg.
Force=ma
2100N= m*1.5
2100/1.5= 1400kg.
Please mark me brainliest :)
3 0
2 years ago
insurance company checks police records on 559 accidents selected at random and notes that teenagers were at the wheel in 91 of
ss7ja [257]

Answer: (13.22\%,\ 19.34\%)

Step-by-step explanation:

Given : Sample space : n= 559

Sample proportion : \hat{p}=\dfrac{91}{559}=0.162790697674\approx0.1628

=16.28\%

Significance level : \alpha= 1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

Confidence level for population proportion:-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.1628\pm (1.96)\sqrt{\dfrac{0.1628(1-0.1628)}{559}}\\\\=0.1628\pm0.030604971367\\\\\approx 0.1628\pm0.0306=(0.1322,\ 0.1934)=(13.22\%,\ 19.34\%)

Hence, 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.= (13.22\%,\ 19.34\%)

7 0
3 years ago
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