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AlexFokin [52]
3 years ago
15

Need help asap tysm if u help! I'll mark Brainliest too :)​

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
8 0

Answer:

D consecutive interior angles , 113

Step-by-step explanation:

67 and < 2 are consecutive interior angles

We know that consecutive interior angles are supplementary

67 + <2 = 180

Subtract 67 from each side

<2 = 180-67

<2 =113

Volgvan3 years ago
4 0

Answer:

D

Step-by-step explanation:

Same side interior angle are always supplementary, which means the measures of their angle always add up to 180 degrees

Subtract 67 from 180

180 - 67 = 113

The answer is d

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HELP!!! this is graded and no links plzzzzz!!!!!
vampirchik [111]

Answer:

88cm^2

Step-by-step explanation:

Area of the rectangle: base x height

Area of parallelogram: base x height

Area of the shaded part: area of rectangle -area of parallelogram:

12x10-4x8=120-32=88

5 0
2 years ago
210 is how many tens? an also what does 240 equals how many tens
qwelly [4]
210 is 21 groups of ten. 240 is 24 tens
6 0
3 years ago
Consider the two triangles. Triangles A B C and T R S are shown. Sides A C and T S are congruent. Sides T B and R S are congruen
masya89 [10]

Answer:

its c

Step-by-step explanation:

By the converse of the hinge theorem, mAngleS > mAngleC.

4 0
3 years ago
Read 2 more answers
Solve for x, 0 ≤ x ≤2π (2cosx-1)(2sinx+√3 ) = 0
vladimir1956 [14]

Answer:

x = π/3, x = 5π/3, x = 4π/3

Step-by-step explanation:

Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3  = 0.

2\cos \left(x\right)-1=0,\\2\cos \left(x\right)=1,\\\cos \left(x\right)=\frac{1}{2}

Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.

Similarly:

\:2\sin \left(x\right)+\sqrt{3}=0,\\2\sin \left(x\right)=-\sqrt{3},\\\sin \left(x\right)=-\frac{\sqrt{3}}{2}

The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.

So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.

5 0
3 years ago
Please explain how you got your answers! (: Solve the problem by using the counting principle.
Natasha2012 [34]
A. The number of fabric-pattern-color combinations is 4 * 13 * 9 = 468

B. P(1st choice) = no of novels / total books = 3/6 = 1/2
    P(2nd choice) = no of remaining novels/ total remaining books = 2/5
    P(both novels) = 1/2 * 2/5 = 1/5          (without replacement assumed)

C. P(1st choice) = no of biographies / total books = 2/6 = 1/3
    P(2nd choice) = no of remaining biographies/ total remaining books =        1/5
    P(both biographies) = 1/3 * 1/5 = 1/15          (without replacement                assumed)

D. P(1st choice) = no of history books / total books = 1/6
    P(2nd choice) = no of novels/ total remaining books = 3/5
    P(a history, then a novel) = 1/6 * 3/5 = 1/10          (without replacement assumed)
7 0
3 years ago
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