All categories

2 years ago

A, B & C lie on a straight line.

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

8 0

Answer:

x = 129°

Step-by-step explanation:

∠ ABD and ∠ DBC are a linear pair and sum to 180° , then

y + ∠ DBC = 180°

107° + ∠ DBC = 180° ( subtract 107° from both sides )

∠ DBC = 73°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then

x = ∠ DBC + z = 73° + 56° = 129°

You might be interested in

Two factors of 24 add up to 11 what are they

allsm [11]

$x*y=24$
$x+y=11$
$y=24/x$
$y=11-x$
$24/x=11-x$
$11x-x^{2} =24$
$- x^{2} +11x-24=0$
$(-x+8)(x-3)=0$
$-x+8=0 x-3=0$
$x=8 or 3$
Your factors are 8 and 3.

7 0

4 years ago

What is the value of A in the area model for finding the quotient of 4,340 ÷ 5?

Angelina_Jolie [31]

Value A:

5 x 800 = 4000

Answer is D) 4,000

8 0

3 years ago

If 60% of some number is equal to 264, what is the total number

lukranit [14]

Heres what I would do:

60/3=20
264/3=88

That way 88 would be 20%

Now you multiply everything by 5 to make it 100%

88x5=440

7 0

4 years ago

Two villages are 12 km apart in real life.

miskamm [114]

Answer:

can you add a picture of the question...

8 0

4 years ago

Find the measures of HAB and CAB.

Paha777 [63]

Answer: Angle HAB= 66 and Angle CAB= 44

Step-by-step explanation:

Since angle EAF=90 and FAD=20 then DAH must equal 70 degrees because it is 180 degree angle. Since DAH and EAC are vertical angles they are equal so EAC = DAH= 70 degrees. For the other side of 180 degrees then 70+5x=180

5x=110

x=22

CAB= 2(22)= 44 degrees

HAB= 3(22)=66 degrees

4 0

3 years ago