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3 years ago

Please help I’ll mark brainliest!

Mathematics

1 answer:

12345 [234]3 years ago

4 0

Answer:

Step-by-step explanation:

use the equation

25 = 4x + 5.25

solve for x

19.75 = 4x

4.93... = x

based on the situation were given he could only play 4 games bc you cant play .93 of a game

hope this helps

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If a b and c are three different numbers which of the following equations has exactly one solution?

Mrrafil [7]

Option B is correct.

Step-by-step explanation:

We need to identify which of the following equations has exactly one solution.

We will solve each equation to find the answer

A. $ax+b=ax+b$

Solving and finding value of x:

$ax+b=ax+b\\ax-ax=b-b\\0=0$

This equation has infinite number of solutions because both sides are equal to 0

B. $ax=bx+c$

Solving and finding value of x:

$ax=bx+c\\ax-bx=c\\x(a-b)=c\\x=\frac{c}{a-b}$

This equation has exactly one solution

C. $ax+b=ax+c$

$ax+b=ax+c\\ax-ax=c-b\\0=c-b$

This equation has no solution because both sides are not equal.

So, Option B is correct.

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

4 0

3 years ago

Complete the missing parts of the paragraph proof. Draw a perpendicular from P to AB. Label the intersection C. We are given tha

zvonat [6]

1) We are given that PA = PB, so PA ≅ PB by the definition of the radius.

When you draw a perpendicular to a segment AB, you take the compass, point it at A and draw an arc of size AB, then you do the same pointing the compass on B. Point P will be one of the intersections of those two arcs. Therefore PA and PB correspond to the radii of the arcs, which were taken both equal to AB, therefore they are congruent.

2) We know that angles PCA and PCB are right angles by the definition of perpendicular.

Perpendicularity is the relation between two lines that meet at a right angle. Since we know that PC is perpendicular to AB by construction, ∠PCA and ∠PCB are right angles.

3) PC ≅ PC by the reflexive property congruence.

The reflexive property congruence states that any shape is congruent to itself.

4) So, triangle ACP is congruent to triangle BCP by HL, and AC ≅ BC by CPCTC (corresponding parts of congruent triangles are congruent).

CPCTC states that if two triangles are congruent, then all of the corresponding sides and angles are congruent. Since ΔACP ≡ ΔBCP, then the corresponding sides AC and BC are congruent.

5) Since PC is perpendicular to and bisects AB, P is on the perpendicular bisector of AB by the definition of the perpendicular bisector.

The perpendicular bisector of a segment is a line that cuts the segment into two equal parts (bisector) and that forms with the segment a right angle (perpendicular). Any point on the perpendicular bisector has the same distance from the segment's extremities. PC has exactly the characteristics of a perpendicular bisector of AB.

6 0

3 years ago

Read 2 more answers

Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh

svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by $p = 130e^{0.0205t}$ (1)