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3 years ago

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:

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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The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.

Dmitry [639]

The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
$\frac{360}{100} = \frac{130}{M} \\ M=(100*130)/360 \\ M=36.11$ %

women voters
$\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89$ %

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters

6 0

3 years ago

Multiply 3/7 by the reciprocal of -3/14

Alexandra [31]

Multiplying 3/7 by the reciprocal of -3/14,

$\frac{3}{7} \times \frac{14}{ - 3} \\ = \frac{1}{1} \times \frac{2}{ - 1} \\ = \frac{2}{ - 1} \\ = - 2$

Hope it helps!!

7 0

2 years ago

Simplify the square root of 10000 using powers of 10.

Alexxandr [17]

Answer:

square 10 to the 4th power but you have to divide it into 2 so it will be 10 to the 2nd power

hope this helps

4 0

2 years ago

The height of a triangle is 8 cm more than the base. If the area is 24 cm2, find the height and base of the triangle.

Elden [556K]

Answer:

height = 12 cm

base length = 4 cm

Step-by-step explanation:

area of a triangle

base length × height / 2

x = height

y = base length

x = y + 8

24 = y × (y + 8) / 2

48 = y × (y + 8) = y² + 8y

squared equation

y² + 8y - 48 = 0

solution

y = (-b ± sqrt(b² - 4ac))/(2a)

a = 1

b = 8

c = -48

y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =

= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8

y1 = -4 + 8 = 4 cm

y2 = -4 - 8 = -12

but a negative base length did not make any sense, so only y = 4 remains.

x = y + 8 = 4 + 8 = 12 cm

5 0

3 years ago

The formula for the surface area of a right rectangular prism is A  2lw  2hw  2lh, where l, w, and h represent the length, wi

Thepotemich [5.8K]

Answer:

The term 2lw is independent of the height

Step-by-step explanation:

This formula is usually obtained reasoning like this: the rectangular prism has 6 faces, thus the surface area is the sum of the areas of these faces.

2 faces are l×w rectangles, so their area is lw+lw=2lw. Note that we are not using the height to compute the area, then this is the independent term.

The 4 remaining rectangles involve the height as one of their dimensions, so their areas (2hw+2lh) depend on the height.

8 0

3 years ago

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

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