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3 years ago

I'm confused, is it A or D?

Mathematics

2 answers:

Helen [10]3 years ago

6 0

Answer:

D. x>7

Step-by-step explanation:

Multiply - and -3

x+3>10

Subtract 3 on both sides

x>7

(Remember you can only switch the symbol if you divide or multiply by negative it does not apply on addition or subtraction)

Hope this helps!

miv72 [106K]3 years ago

5 0

Answer:

It is D.

Step-by-step explanation:

Remove parentheses: x + 3 > 10

Subtract 3 from both sides: x > 10 - 3

Simplify 10 - 3 to 7: x > 7

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In triangle ABC, angle a and b are complementary, where the cos A= 0.5. What is the angle measure of B in degrees?

aleksley [76]

Angle B measures 30 degrees.

Step-by-step explanation:

Step 1:

If two angles are complementary, the sum of the two angles will equal 90°.

So if angles A and B are complementary, the sum of the angles A and B will equal 90°.

It is given that cos A = 0.5, we can determine the value of A by taking the cos inverse of the value 0.5.

Step 2:

If cos A = 0.5, A = $cos^{-1} (0.5) = 60^\circ.$ So angle A is 60°.

As A and B are complementary, angle A + angle B = 90°.

So 60° + angle B = 90°, angle B = 90° - 60° = 30°.

So angle B measures 30° while angle A measures 60°.

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3 years ago

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What is the perimeter of quadrilateral ABCD? a(-3,2) b(4,2) c(3,-3) d(-3,3)

lord [1]

Answer:

Perimeter will be = 21.6

Step-by-step explanation:

As we know the formula to get the length between two points A and B having coordinates A(x,y) and B (a,b) is

AB = √(x-a)²+(y-b)²

We will use this formula to get the lengths of all sides of the quadrilateral.

AB=√(4+3)²+(2-2)² =√7² =7

BC = √(3-4)²+(-3-2)²=√(-1)²+(-5)² = √1+25=√26 = 5.1

CD = √(3+3)²+(-3-3)² = √6²+(-6)² = √72 = 8.5

DA = √(-3+3)²+(3-2)² =√1 = 1

Since perimeter of the quadrilateral = sum of lengths of all sides

Perimeter = 7 + 5.1 + 8.5 + 1 = 21.6

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3 years ago

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5.6 yd 5 yd 12 yd What is the area

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112 is that all multiplied and divided by three.

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3 years ago

Which is the equation of a circle whose center is at the origin and that passes through the point (3, 5)?

xxTIMURxx [149]

Answer:

x² + y² = 34

Formula:

(x - h)² + (y - k)² = r² where (h, k) is the center

Here find the radius using distance formula: → origin : (0, 0)

√(x2-x1)²+(y2-y1)²

√(3-0)²+(5-0)²

√9+25

√34

Thus the equation of circle:

(x - 0)² + (y - 0)² = (√34)²

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avanturin [10]

Answer:

A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)

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The coordinates of rectangle ABCD are A(-1,0), B(0,-1), C(-2,-3), (-3,-2).

The mapping for a rotation through 90° clockwise about the origin is

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Therefore the image rectangle has coordinates:

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The first choice is correct.

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