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3 years ago

I need to find angle BAC

Mathematics

1 answer:

igomit [66]3 years ago

8 0

Answer:

m<BAC = 60°

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle equals the sum of the measures of its remote interior angles.

m<ACD = m<A + m<B

130° = m<A + 70°

m<A = 60°

m<BAC = 60°

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Which group had the highest percentage of students like Sport.

Vesnalui [34]

The group that had the highest percentage of students that like Sports is group B.

The group that had the less percentage of students that like English is group A.

the percentage of students like Math in group A is 30% and 10% in group B

<h3>What are the percentages?</h3>

A pie chart is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a pie chart is 360 degrees

Percentage of students that like sports in:

Group A = [20 / (20 + 15 + 5 + 10)] x 100 = 40%
Group B = [22 / (5 + 4 + 9 + 22)] x 100 = 55%

Percentage of students that like English in:

Group A = [5 / (20 + 15 + 5 + 10)] x 100 = 10%
Group B = [5 / (5 + 4 + 9 + 22)] x 100 = 22.5%

Percentage of students that like Maths in:

Group A = [15 / (20 + 15 + 5 + 10)] x 100 = 30%

Group B = [4 / (5 + 4 + 9 + 22)] x 100 = 10%

To learn more about pie charts, please check: brainly.com/question/26250795

#SPJ1

5 0

2 years ago

What divides a two dimensional shape into two congruent shapes

zaharov [31]

Answer:

Rectangle is a 2dimensional shape so, let me explain using it

The diagonal of a rectangle divides the rectangle into two triangles that are congruent and they are the same size and shape.

Another example is parallelogram

The diagonal of a parallelogram also divides the figure into two triangles that are congruent.

Step-by-step explanation:

6 0

3 years ago

Help me guys it's too urgent

jeyben [28]

I recommend that you download photomath, it is an app that takes a photo of the equation and answers it most of the time.

3 0

3 years ago

a rectangle is 5 inches long and 2x inches wide. The value of the perimeter is 22 inches what is the value of x?

Alekssandra [29.7K]

Answer: x =3

Step-by-step explanation:

2× 3 = 6

length= 5 inches

width= 2×3= 6 inches

2(l+w) = 2(5+6)

2(11)

2×11= 22

hope this helps:-)

4 0

3 years ago

The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

5 0

3 years ago