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geniusboy [140]
3 years ago
12

Solve the system y = -x + 7 and y = -0.5(x - 3)2 + 8

Mathematics
2 answers:
guajiro [1.7K]3 years ago
6 0
I believe the answer is (7,0) and (1,6). I hope it's correct :)
ch4aika [34]3 years ago
3 0

y=-x+7

y= -0.5(x-3)^2 +8

-x+7=-x+7

Final Answer: (7,0) and (1,6)

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Select the postulate or theorem that you can use to conclude that the triangles are similar.
insens350 [35]

Answer: SAS similarity postulate

Step-by-step explanation:

According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.

In triangles, QNR and MNP,

\frac{QN}{MN} = \frac{QM+MN}{MN} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}

\frac{NR}{NP} = \frac{NP+NR}{NP} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}

\implies \frac{QN}{MN} = \frac{NR}{NP}

Also,

\angle QNR\cong \angle MNP  (Reflexive)

Thus, By SAS similarity postulate,

\triangle QNR\sim\triangle MNP

⇒ Option first is correct.

8 0
3 years ago
If the mass of a proton is 2.34 × 10–14 grams, what is the mass of 1,000 protons?
Sergio [31]
The answer is 2.34 x 10-11 g
4 0
3 years ago
The coordinates of the vertices of quadrilateral JKLM are J(-3,2), K(4,-1), L(2,-5) and M(-5,-2).
pashok25 [27]
<span>Slope of JK=((-1)-2)/(4-(-3)=-3/7 Slope of KL=((-5)-(-1)/(2-4=2 Slope of LM=((-2)-(-5))/(-5-2)=-3/7 Slope of MJ=(2-(-2))/((-3)-(-5))= 2 JK is parallel to LM and KL is parallel to MJ. Therefore JKLM is a parallelogram.</span>
5 0
3 years ago
Which two comparisons are true?
uranmaximum [27]

Answer:

The answer is b and d

...........

8 0
3 years ago
I need help with please
gregori [183]

Answer:

c

Step-by-step explanation:

4 0
2 years ago
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