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3 years ago

Estimate the measure of ∠DBC.Could someone please help me with this?

Mathematics

1 answer:

marshall27 [118]3 years ago

8 0

Answer:

Option (4). 135°

Step-by-step explanation:

From the figure attached,

Two pair of vertical angles have been given,

∠ABD and ∠CBE

∠ABE and ∠CBD

One pair of angles ∠ABD and ∠CBE are acute angles which are less than 90°.

Similarly, other pair ∠ABE and ∠DBC are obtuse angles which are more than 90°.

Therefore, out of the given options measure of one pair ∠DBC and ∠ABE should be 135°.

Option (4) will be the answer.

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Find the value of k for x^2 - 2kx+7k -12=0 so that they have two equal roots

Alisiya [41]

Step-by-step explanation:

x^2 -2kx +7k -12 = 0

two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0

so k =3 and k =4

5 0

3 years ago

Jerry planted a pine tree that was 5 feet tall and a maple tree that was 10 feet tall. The pine tree grew 3 feet taller per year

stich3 [128]

The initial length of the pine tree=5 feet.

Groth rate of pine tree =3 feet/year.

The initial length of the pine tree =10 feet.

Groth rate of the maple tree =2 feet/year.

After x years, the height of the pine tree= 5+3x feet and

after x years, the height of the maple tree= 10+2x feet.

The inequality for which, after x year, the pine tree is taller than the maple tree is

$5+3x>10+2x$

$\Rightarrow x>5$ .

The inequality for which, the pine tree is at least as tall as the maple tree is $5+3x\geq10+2x$ .

$\Rightarrow x\geq 5$ .

Again, after 3x years, the height of the pine tree= 5+3(3x)=5+9x feet and

after 2x years, the height of the maple tree= 10+2(2x)=10+4x feet.

The inequality for which, after 3x years, the pine tree is taller than the maple tree was after 2x years is

$5+9x>10+4x$

$\Rightarrow 5x>5$

$\Rightarrow x>1.$

The inequality for which, the pine tree is at least as tall as the maple tree is $5+9x\geq10+4x$ .

$\Rightarrow 5x\geq5$

$\Rightarrow x\geq 1.$

5 0

3 years ago

I need help with this math problem

Anika [276]

She did 12 questions, and needs to do 36.

36 / 12 = 3, so it will take 3 times as long.

1 hour 20 minutes times 3 = 4 hours.

It will take her 4 hours.

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3 years ago

Read 2 more answers

(201)3 is equivalente to: (11)10; (10010)2; (11)16; (23)8

IRISSAK [1]

Convert to base 10
2×3² + 0×3¹ + 1×3^0 = 18 + 0 +1 = 19 base 10
so convert 19 to base 8
19 base 10 = 23 base 8
D is your answer

8 0

3 years ago

56 is divided by a certain fraction a over B, the result is 1 fourth what is the fraction a Over b

Nonamiya [84]

14/56=1/4

Hope it helps???

7 0

3 years ago