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valentina_108 [34]
2 years ago
8

Find the value of x that makes the two triangles equal

Mathematics
1 answer:
Leona [35]2 years ago
8 0

Answer:

5

Step-by-step explanation:

\triangle CDE \sim\triangle FGH...(given)

\therefore \frac{CD}{FG}=\frac{CE}{FH}...(csst)

\therefore \frac{4x}{28}=\frac{25}{35}

\therefore \frac{x}{7}=\frac{5}{7}

\therefore x=\frac{7\times 5}{7}

\therefore x=5

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6. The variable x and y vary directly, and y = 40 when x = 5. Which equation relates the variables?
valkas [14]

Answer:

The equation relates the variables is y = 8x ⇒ D

Step-by-step explanation:

If x and y vary directly (y ∝ x), then y = k x, where

  • k is the constant of variation
  • k can be found using the initial value of x and y

∵ The variable x and y vary directly

∴ y ∝ x

→ By using the rule above

∴ y = k x

∵ y = 40 when x = 5

∴ The initial values of x and y are x = 5 and y = 40

→ Substitute them in the equation above to find k

∵ 40 = k(5)

∴ 40 = 5k

→ Divide both sides by 5

∵ \frac{40}{5} = \frac{5k}{5}

∴ 8 = k

→ Substitute the value of k in the equation above

∴ y = 8x

∴ The equation relates the variables is y = 8x

5 0
2 years ago
Round 630 to the nearest ten
rjkz [21]
630 rounded to the nearest tenth is 600.4 and under let it rest 5 and up wake it it up
3 0
3 years ago
Read 2 more answers
How do I find the volume of this sphere while using 3.14
yawa3891 [41]
Vsphere=(4/3)pir³

d/2=r
d=6.2
6.2/2=r=3.1

vsphere=(4/3)pi3.1³
vsphere=(4/3)pi29.791
Vsphere=124.72498666666666666666666666667
answer is 124.72498666666666666666666666667 cubic feet
or rounded to neares whole, 125 square feet
7 0
3 years ago
Solve for m in the proportion
zloy xaker [14]

Step-by-step explanation:

\frac{72}{m}  =  \frac{36}{1}

m =  \frac{72}{36}

m = 2

8 0
2 years ago
Question 1 i need help on
ladessa [460]

The actual distance between Bixby and Coyle is 105 miles which can be represented by 7 cm.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

60 miles = 4 cm

Hence:

7 cm = 7 cm * (60 miles)/(4 cm)  = 105 miles

The actual distance between Bixby and Coyle is 105 miles which can be represented by 7 cm.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0
1 year ago
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