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Gekata [30.6K]
2 years ago
15

Carol bought two chairs with triangular backs. For what value of x can you use

Mathematics
1 answer:
Step2247 [10]2 years ago
5 0

Answer:

x = 4

Step-by-step explanation:

Two sides, GH and GI, in ∆GHI are of the same side length as corresponding two sides, TU and TV, in ∆TUV.

To prove that both triangles are congruent using the SSS Congruence Theorem, therefore, the their third sides, HI and UV must be equal.

Therefore,

9x - 21 = 15

Add 21 to both sides

9x - 21 + 21 = 15 + 21

9x = 36

Divide both sides by 9

x = 4

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Randolph is creating parallelogram WXYZ so that WX has an equation of y = 1 over 4x − 6. Segment YZ must pass through the point
Nostrana [21]

Answer:

y - 5 = 1/4 (x - (-1))

Step-by-step explanation:

Since we have a parallelogram, then WX and YZ must be parallel

mathematically, the general equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

if two lines are parallel, the value of their slopes is same

for the first line, we have;

y = 1/4x - 6

The slope of the first line is 1/4

this is the slope of the second line too

By using;

y-y1 = m(x-x1)

where (x1,y1) is the point on the line

we have;

y - 5 = 1/4 (x - (-1))

7 0
3 years ago
What are the zeros of the polynomial function f(x) = x3 – 4x2 – 12x
AleksAgata [21]
<span><span>fx</span>=<span><span><span>x3</span>−<span>4<span>x2</span></span></span>−<span>12x</span></span></span>.<span><span><span>‌<span><span>fx/</span>x</span></span>‌</span>=<span><span>‌<span><span><span><span>x3</span>−<span>4<span>x2</span></span></span>−<span>12x/</span></span>x</span></span>‌

</span></span><span>f=<span><span><span>x2</span>−<span>4x</span></span>−<span>12</span></span></span>
4 0
3 years ago
Read 2 more answers
Use a graphing calculator to determine the solution of<br> 1-2x - y = 2<br> 13x + 2y=1
Arte-miy333 [17]
The first one is 2x+y=-1

the second one is 13x+2y-1=0
6 0
3 years ago
(6m³n)²(-4m⁵n) <br><br>must be simplified​
Alekssandra [29.7K]

Answer:

-144m^11n^3

Step-by-step explanation:

-(6m^3)^2 x 4m^5n

-36m^6n^2 x 4m^5n

Answer:

-144m^11n^3

8 0
3 years ago
4) During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play
ioda

$225 was earned from the craft sales

and $40 was earned from the play.

Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.

Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.

Let the amount earned by play be x,

Now, Games earned = 0.15×500 = $75

Also, crafts earned 3×75 = $225

Now, as play earned x, then food earned 4x.

According to question,

x + 75 + 225 + 4x = 500

5x + 300 = 500

5x = 200

x = 40

So, the amount earned by Play be, $40

and the amount earned by Food be $160.

Hence, $225 was earned from the craft sales

and $40 was earned from the play.

Learn more about Linear Equations here brainly.com/question/24085666

#SPJ1

5 0
1 year ago
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