The triangles are similar. Find the missing length x.

Given:

Two triangles are congruent, i.e., [tex]\Delta ABC\cong \Delta XYZ[/tex].

To find:

All the measures of both triangle.

Solution:

We have,

[tex]\Delta ABC\cong \Delta XYZ[/tex].

We know that, corresponding parts of congruent triangles are congruent (CPCTC).

[tex]\angle A=\angle X[/tex]

[tex]\angle B=\angle Y=90^\circ[/tex]

[tex]\angle C=\angle Z=37^\circ[/tex]

It triangle ABC,

[tex]\angle A+\angle B+\angle C=180^\circ[/tex]     (Angle sum property)

[tex]\angle A+90^\circ+37^\circ=180^\circ[/tex]

[tex]\angle A+127^\circ=180^\circ[/tex]

[tex]\angle A=180^\circ -127^\circ[/tex]

[tex]\angle A=53^\circ[/tex]

So,

[tex]\angle A=\angle C=53^\circ[/tex]

[tex]AB=XY=3\text{ units}[/tex]

[tex]BC=YZ=4\text{ units}[/tex]

[tex]AC=XZ=5\text{ units}[/tex]

Therefore, m∠A = 53˚,  m∠B =90˚ , m∠C =37˚ , m∠X = 53˚,  m∠Y =90˚ , m∠Z =37˚ , Segment AB = 3 units , Segment BC = 4 units , Segment AC = 5 units , Segment XY = 3 units , Segment YZ = 4 units , Segment XZ = 5 units .

Answer:

it's an angle symbol, it indicates an angle in a set of intersecting lines or inside a triangle. This question probably came with an image that will help you determine the measure of degrees of the angle K (m indicates measure)

Step-by-step explanation:

Answer:

n=−2

Step-by-step explanation:

Let's solve your equation step-by-step.

3(n−5)=−21

Step 1: Simplify both sides of the equation.

3(n−5)=−21

(3)(n)+(3)(−5)=−21(Distribute)

3n+−15=−21

3n−15=−21

Step 2: Add 15 to both sides.

3n−15+15=−21+15

3n=−6

Step 3: Divide both sides by 3.

Answer: n= -2

Step-by-step explanation:

3(n−5)=−21

Divide both sides by 3.

n−5=  

3

−21

​  

Divide −21 by 3 to get −7.

n−5=−7

Add 5 to both sides.

n=−7+5

Add −7 and 5 to get −2.

n=−2

Answer:

the answer is 24

Step-by-step explanation:

36 times 2x is 24

90+36=126

180-126=54

54/2=27

x = 27

Hope you enjoy it! :)

Answer:

NEITHER OF THEM IS THE ANSWER

Answer:

y=-3x+12

Step-by-step explanation:

use the formula y=mx+b and just plug in the numbers. m is slope and b is y intercept

sorry if this is wrong :)

Answer:

Just like the first one the answer should be 1/4 because you divide it equally among 4 friends

Step-by-step explanation:

Answer:

I'm no photographer, but I can picture us together.

Step-by-step explanation:

The possible area of the region that is shaded is given as 462cm.

The picture here shows us two rectangles.

The area of a rectangle is given as L * w

= length x width

We have to find the area of the first rectangle

21cm x 42cm

= 882 cm

Next we find the area of the rectangle inside

15cm x 28cm

= 420

To get the area of the shaded region

= 882 - 420

= 462cm

Read more on the area of a rectangle here:

https://brainly.com/question/2607596

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The answer is 3. The only common factor between the numbers is 3, because 15 is 3 times 5, while 9 is 3 times 3.

Answer:

Greatest common factor: 3

Step-by-step explanation:

Both 15 and 9 have a factor of 3, and that is the biggest number that they share. The answer doesn't have letters in it because y and n are not related.

Answer:

6 is the greatest common factor

Step-by-step explanation:

6 goes into 6 once evenly

6 goes into 12 twice evenly

6(x + 2)

Answer: It may be 14k - 4

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

8/2 = 4 + 8 = 12

Answer:

−8<r≤3

Step-by-step explanation:

The final inequality of 24>−3r≥−9 is -8 <  r ≤ 3.

Given,

24>−3r≥−9

We need to solve this inequality.

We have,

< = less than

> = greater than

≤ = less than and equal

≥ - greater than and equal

If we change the sign we change the inequality.

Example:

2 > -1

Multiply -1 on both sides.

-2 < 1

We have,

24 > -3r ≥ -9

We can cancel the common factor.

3 x 8 > -3r ≥ - 3 x 3

8 > -r ≥ -3

Multiply - on all sides.

-8 < -(-r) ≤ -(-3)

-8 <  r ≤ 3

This means r values are between -8 and 3.

r = ( -8, 3]

Thus the final inequality of 24>−3r≥−9 is -8 <  r ≤ 3.

Learn more about how to solve a compound inequality here:

https://brainly.com/question/17086294

#SPJ2

the answer is lines 3 and 5

Step-by-step explanation:

let the unknown be x

length = 3x

width = x

Perimeter = 2 lengths + 2 widths

24 ft = 3x + 3x + x + x

24 ft = 8x

3 ft = x

dimensions = length × width

= 3(3) × 3

= 9 ft × 3 ft

if you wanna check,

24 ft = 3(3) + 3(3) + 3 + 3

24 ft = 24

Answer:

3.81 x 10^7

Step-by-step explanation:

Answer:

The answer is no.

Answer:

t*16+b*12=how much money per week

Step-by-step explanation:

hope this helps

plz mark brainliest

Answer:

e 150 is the answer

Step-by-step explanation:

i calculated it

Answer:

The answer is 3+ 1.25s+ .5t= c

in which:

s is the number of scoops

t is each topping

c is the total cost

Answer:

[tex]\text{The reduced fraction is } \frac{2}{3}[/tex]

Step-by-step explanation:

Fraction Reduction

To reduce a fraction, we try to divide both the numerator and denominator by the very same number until no more numbers can be found.

The fraction to reduce is:

[tex]\displaystyle \frac{54}{81}[/tex]

Since the denominator is odd, we cannot divide by 2, but we can divide by 3:

[tex]\displaystyle \frac{54}{81}=\frac{18}{27}[/tex]

We divide by 3 again:

[tex]\displaystyle \frac{18}{27}=\frac{6}{9}[/tex]

We divide by 3 one last time:

[tex]\displaystyle \frac{6}{9}=\frac{2}{3}[/tex]

[tex]\text{The reduced fraction is } \frac{2}{3}[/tex]

Answer:

9

Step-by-step explanation:

Take half of the coefficient of x and square it.

-6/2 = -3

Square -3 to get 9.

Answer: 9

Answer:

9 and 9

Step-by-step explanation:

yeah its only 9 and 9

Answer: Daughter = 13,   Man = 45

Step-by-step explanation:

                     Today           5 yrs ago          3 years hence (future)

Man                    x                  x - 5                     x + 3

Daughter           y                  y - 5                      y + 3

5 years ago a man's age was 5 times the age of his daughter's

EQ1:  x - 5 = 5(y - 5)    →     x - 5 = 5y - 25        →      x - 5y = -20

3 years hence, twice the man's age will be equal to 6 times his daughter's age.

EQ2: 2(x + 3) = 6(y + 3)     →    2x + 6 = 6y + 18      →     2x - 6y = 12

Solve the system of equations using the Elimination method:

EQ1:  x - 5y = -20  →  -2(x - 5y = -20)   →   -2x + 10y = 40

EQ2: 2x - 6y = 12  →    1(2x - 6y = 12)   →    2x -  6y = 12  

                                                                             4y =  52

                                                                           ÷4     ÷4  

                                                                              y =  13

Substitute y = 13 into either equation to solve for x:

EQ1: x - 5y = -20

       x         = 5y - 20

       x         = 5(13) - 20

       x         =  65   - 20

              x = 45