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liberstina [14]
3 years ago
8

Please help I need this done ASAP 10 points + crown for whoever has the most accurate answer

Mathematics
1 answer:
koban [17]3 years ago
4 0

Part a)

Time:distance

1:3

Part b)

6 hours

Part C)

81km

Answered by Gauthmath must click thanks and mark brainliest

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Please anybody help me please this is so hard that not even I can't solve this I don't pay attention in class
Alla [95]

Answer:

m\angle B=54^{\circ}

m\angle BAD=36^{\circ}

m\angle CDA=90^{\circ}

BAC=72^{\circ}

Step-by-step explanation:

Given:

\overline{AB}\cong \overline{AC},

\overline{AD} bisects angle BAC

m\angle C=54^{\circ}

Triangle ABC is isosceles triangle, because \overline{AB}\cong \overline{AC}. Angles adjacent to the base of isosceles triangle ABC are congruent.

Hence,

m\angle C=m\angle B=54^{\circ}

The sum of the measures of all interior angles is 180°, so,

m\angle B+m\angle C+m\angle BAC=180^{\circ}\\ \\m\angle BAC=180^{\circ}-2\cdot 54^{\circ}=72^{\circ}

Since \overline{AD} bisects angle BAC, angles BAD and CAD are congruent by definition of angle bisector. So,

m\angle BAD=m\angle CAD=\dfrac{1}{2}m\angle BAC=\dfrac{1}{2}\cdot 72^{\circ}=36^{\circ}

AD ia angle bisector in isosceles triangle drawn to the base, so it is the height. Thus, AD and BC are perpendicular. So,

m\angle CDA=90^{\circ}

8 0
3 years ago
Suppose that the function LaTeX: f(x) f ( x ) is shifted horizontally to the right by LaTeX: a a , reflected across the LaTeX: x
Sveta_85 [38]

Answer:

g(x) = (x-a,-y - b)

Step-by-step explanation:

Given

Represent f(x) as follows:

f(x) = (x,y)

Transformations:

Horizontally shifted right by a

Reflected across x axis

Vertically shifted down by b

Taking the transformations one after the other.

Horizontally shifted right by a

When a function is shifted right, the resulting function is:

f' = (x-a,y)

Reflected across x axis

Here, the x axis remains unaltered while the y axis is negated

f' = (x-a,y)

becomes

f" = (x-a,-y)

Vertically shifted down by b

When a function is shifted down by b, the resulting function is:

f"' = f" - b

i.e, subtract b from the function (f(x) or y, as the case may be)

So, we have:

f"'  = (x-a,-y - b)

Represent f"' with g(x)

g(x) = (x-a,-y - b)

3 0
3 years ago
There are 15 boys and 45 girls competing in a race. What is the ratio of girls to boys in the race , lowest terms ?
Ivanshal [37]
<h3>Answer =  3:1</h3>

==========================================

Work Shown

45 girls : 15 boys

45/15 girls : 15/15 boys .... divide both parts by 15

3 girls : 1 boy

This tells us there are three times as many girls as there are boys.

We write this as the ratio 3 : 1. The order of the terms is important. We cannot say 1:3 since that would imply there are more boys than girls, but it's the other way around.

7 0
3 years ago
The Medicare tax rate is 1.45% how much would be withheld form someone paycheck for Medicare with wages of $1,738 for that pay p
Tcecarenko [31]

Answer: \$25.201

Step-by-step explanation:

Given

The Medicare tax rate is 1.45%

The wages of a person is $1738

The amount which is withheld from the person paycheck is

\Rightarrow 1738\times 1.45\%\\\Rightarrow 1738\times 0.0145\\\Rightarrow \$25.201  

7 0
3 years ago
I need to find the volume of a sphere
Feliz [49]

Answer:

523.6

Step-by-step explanation:

Following the calculation, and 3.14 for pi, the answer would be 523.6

8 0
3 years ago
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