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s2008m [1.1K]
3 years ago
13

What is the measure of angle B in the triangle? Enter your answer in the box. m∠B= ° ​

Mathematics
2 answers:
sergey [27]3 years ago
5 0

Answer:

B = 22°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

x + x + 16 + 120 = 180

2x + 136 = 180 ( subtract 136 from both sides )

2x = 44 ( divide both sides by 2 )

x = 22

∠B = x = 22°

stealth61 [152]3 years ago
5 0
M angle B= 22°

All the angles of a triangle are equal to 180°, so since we are given 120°, that means that both angles together equal 60°. Set the equations equal to 60°, so (x+16)+x=60°. Add like terms and get x to itself, so subtract 16 from 60 and add the x's together. You should get 2x=44°. Divide 44 by 2 and you get x=22°.

Hope this helps :).
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-2x-7≥41 in algaebra for
dexar [7]

Answer:

They are equal. x= -24

Step-by-step explanation:

-2x - 7 ≥ 41

First you isolate the variable

-2x -7 ≥ 41

    +7     +7

-2x≥48

then divide each side by -2

x≥-24

Then go back and plug in

-2(-24)-7=

48-7=41

Therefore

41=41

4 0
3 years ago
If ABCD is an A4 sheet and BCPO is the square, prove that △OCD is an isosceles triangle. And find the angles marked as 1 to 8 wi
Dmitry [639]

Answer:

The diagram for the question is missing, but I found an appropriate diagram fo the question:

Proof:

since OC = CD = 297mm Therefore, Δ OCD is an isoscless triangle

∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

∠DOP = 22.5°

∠PDO = 67.5°

∠ADO = 22.5°

∠AOD = 67.5°

Step-by-step explanation:

Given:

AB = CD = 297 mm

AD = BC = 210 mm

BCPO is a square

∴ BC = OP = CP = OB = 210mm

Solving for OC

OCB is a right anlgled triangle

using Pythagoras theorem

(Hypotenuse)² = Sum of square of the other two sides

(OC)² = (OB)² + (BC)²

(OC)² = 210² + 210²

(OC)² = 44100 + 44100

OC = √(88200

OC = 296.98 = 297

OC = 297mm

An isosceless tringle is a triangle that has two equal sides

Therefore for △OCD

CD = OC = 297mm; Hence, △OCD is an isosceless triangle.

The marked angles are not given in the diagram, but I am assuming it is all the angles other than the 90° angles

Since BC = OB = 210mm

∠BCO = ∠BOC

since sum of angles in a triangle = 180°

∠BCO + ∠BOC + 90 = 180

(∠BCO + ∠BOC) = 180 - 90

(∠BCO + ∠BOC) = 90°

since ∠BCO = ∠BOC

∴  ∠BCO = ∠BOC = 90/2 = 45

∴ ∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

For ΔOPD

Tan\ \theta = \frac{opposite}{adjacent}\\ Tan\ (\angle DOP) = \frac{87}{210} \\(\angle DOP) = Tan^-1(0.414)\\(\angle DOP) = 22.5 ^{\circ}

Note that DP = 297 - 210 = 87mm

∠PDO + ∠DOP + 90 = 180

∠PDO + 22.5 + 90 = 180

∠PDO = 180 - 90 - 22.5

∠PDO = 67.5°

∠ADO = 22.5° (alternate to ∠DOP)

∠AOD = 67.5° (Alternate to ∠PDO)

3 0
3 years ago
2.7 is greater than equal to b + 5? Solve
Semenov [28]
The answer:   - 2.3 ≥ b ; which does not correspond with any of the answer choices; but most closely corresponds with: "Answer choice: [B]: b > -2.3 ." 
_____________
Explanation:
_________________
Assuming we have:
_______________________
2.7 is greater than <u><em>or</em></u> equal to "(b + 5)"; 
_______________________________
We would write:
_________________
→ 2.7 ≥  b + 5  ;
_________________
→ Subtract "5" from EACH side:
_________________
→ 2.7 − 5  ≥  b + 5 − 5

→ - 2.3 ≥ b ; which does not correspond with any of the answer choices; but most closely corresponds with: "Answer choice: [B]: b > -2.3 ."
____________________
7 0
2 years ago
What proof do you see that contaminated water seeped into the well? How could scientists use a similar approach to understand wa
Veseljchak [2.6K]

Answer:

because of the fungus that may have growne is the asnwer

Step-by-step explanation:

6 0
2 years ago
convert 50° Fahrenheit to celsius using the following formula. round your answers to the nearest degree. 5\9 (f°-32) =c°
weqwewe [10]

First you do 50 - 32 an that equals 13, so your answer is 13

8 0
3 years ago
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