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2 years ago

System: -5x + 3y = 6 Y=7x - 14 (Solve with substitution) Find the x,y

Mathematics

1 answer:

Aleks04 [339]2 years ago

4 0

Answer:

x=3

y=7

Step-by-step explanation:

solve for the first variable in one of the equations, then substitute the result into the other equation.

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What theorem shows that TPN ≅ TQM?

melisa1 [442]

Note: Consider the side of first triangle is TQ instead of TA.

Given:

Triangles TQM and TPN which share vertex T.

$TQ\cong TP,TM\cong TN$

To find:

The theorem which shows that $\Delta TPN\cong TQM$ .

Solution:

In triangle TQM and TPN,

$TQ\cong TP$ [Given]

$\angle QTM\cong \angle PTN$ [Given]

$TM\cong TN$ [Given]

Since two sides and their including angle are congruent in both triangles, therefore both triangles are congruent by SAS postulate.

$\Delta TPN\cong TQM$ [SAS]

Therefore, the correct option is C.

5 0

2 years ago

Simplify: 6y + 5z + 8y – 3z

REY [17]

$6y + 5z +8y- 3z \\
14y + 2z\\ \\
2 (7 y + z) 
$

7 0

2 years ago

Read 2 more answers

Please Help I Will Give Brainlest

LiRa [457]

H has to be a number so that when you divide it by nine it will equal nine.
Reversing this, it would look like this.
9*9=h
h=81

3 0

2 years ago

Read 2 more answers

One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air

Lisa [10]

Answer:

$P(A) = 0.45$

$P(B) = 0.32$

Step-by-step explanation:

Given

$P(A) > P(B)$

$P(A\ u\ B) = 0.626$

$P(A\ n\ B) = 0.144$

Required

Find P(A) and P(B)

We have that:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

and

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

The equations become:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

$0.626 = P(A) + P(B) - 0.144$

Collect like terms

$P(A) + P(B) = 0.626 + 0.144$

$P(A) + P(B) = 0.770$

Make P(A) the subject

$P(A) = 0.770 - P(B)$

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

$0.144 = P(A) * P(B)$

$P(A) * P(B) = 0.144$

Substitute: $P(A) = 0.770 - P(B)$

$[0.770 - P(B)] * P(B) = 0.144$

Open bracket

$0.770P(B) - P(B)^2 = 0.144$

Represent P(B) with x

$0.770x - x^2 = 0.144$

Rewrite as:

$x^2 - 0.770x + 0.144 = 0$

Expand

$x^2 - 0.45x - 0.32x + 0.144 = 0$

Factorize:

$x[x - 0.45] - 0.32[x - 0.45]= 0$

Factor out x - 0.45

$[x - 0.32][x - 0.45]= 0$

Split

$x - 0.32= 0 \ or\ x - 0.45= 0$

Solve for x

$x = 0.32\ or\ x = 0.45$

Recall that:

$P(B) = x$

So, we have:

$P(B) = 0.32 \ or \ P(B) = 0.45$

Recall that:

$P(A) = 0.770 - P(B)$

So, we have:

$P(A) = 0.770 - 0.32 \ or\ P(A) =0.770 - 0.45$

$P(A) = 0.45 \ or\ P(A) =0.32$

Since:

$P(A) > P(B)$

Then:

$P(A) = 0.45$

$P(B) = 0.32$

6 0

2 years ago

What type of graph is best to use to show data that are parts of a whole? A. Venn diagram B. line graph C. histogram D. circle g

AleksAgata [21]

Answer:

Circle graph

Step-by-step explanation:

The key words are "as a whole."

A Venn Diagram only compares and contrasts two things.

A line graph shows the rise and/or drops of things.

Idk what a histogram is lol

7 0

2 years ago