2 years ago

Find the value of the variable that results in congruent triangles for numbers 6 and 8.

Mathematics

1 answer:

mariarad [96]2 years ago

8 0

Answer:

x = 28

Step-by-step explanation:

From the figure attached,

AC ≅ FH [Given]

BC ≅ GH [Given]

AB ≅ FG [Given]

ΔABC ≅ ΔFGH [By SSS property of congruence]

Since, m∠A + m∠B + m∠C = 180°

50° + 69° + m∠C = 180°

119° + m∠C = 180°

m∠C = 180° - 119°

m∠C = 61°

m∠C = m∠H [Since, ΔABC ≅ ΔFGH]

(2x + 5)° = 61°

2x = 61 - 5

2x = 56

x = 28

You might be interested in

R-1/5=r+6/10=??????????????????????

mamaluj [8]

No they are not equal

8 0

3 years ago

Expressed in simplified radical form what is the value of √r-√16r when r=2

Ket [755]

Answer:

- 3 $\sqrt{2}$

Step-by-step explanation:

using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

simplifying $\sqrt{16r}$ when r = 2

= $\sqrt{32}$

= $\sqrt{16(2)}$

= $\sqrt{16}$ × $\sqrt{2}$ = 4 $\sqrt{2}$ , hence

$\sqrt{2}$ - 4 $\sqrt{2}$ = - 3 $\sqrt{2}$

5 0

3 years ago

of the 400 vehicles that passed the intersection, 98 are buses, what percent of the vehicles that passed the intersection are bu

frutty [35]

It should be 24.5%. If you divide 98 by 400 it's .245. Then multiply it by 100, you get 24.5%.

5 0

2 years ago

Junior is using estimating to Find the product of 6752x36 by rounding 6752 to the nearest thousands and 36 to the nearest tens w

myrzilka [38]

Answer:

7000*40=280000

Step-by-step explanation:6752 rounded to nearest thousands is 7000 and 36 rounded is 40

6 0

3 years ago

Read 2 more answers

Look at this equation 3(x+1)=3x=? which number can be placed in the box *the question mark* that would create an equation that h

KATRIN_1 [288]

The answer to this is 0

8 0

2 years ago