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3 years ago

HELP ASAP!! DF right arrow bisects right Angle EDG. find the value of x.

Mathematics

1 answer:

max2010maxim [7]3 years ago

7 0

Triangle EFD and triangle GFD are congruent .(AAS)
therefore, EF=FG
5x+24=9x
4X=24
x=6

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Qu. In a triangle ABC, side AB has length 10cm, side AC has length 5cm, and angle BAC = θ

Vinil7 [7]

Answer:

To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8

To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205

6 0

3 years ago

A dealer paid $7,000 for a car at an auction. At the dealership, a salesperson sold the car for 30% more than the auction price.

timurjin [86]

30% of $7000 is $2100
25% of $2100 is $525

7 0

3 years ago

Mr. yates has an $80.00 budget to purchase a $72.00 pair of sunglasses. If there is a 6% sales tax rate, then how much under bud

Alekssandra [29.7K]

Answer:

$3.68 underbudget

Step-by-step explanation:

$72*6%\\72*0.06=4.32\\Tax=4.32\\72+4.32=76.32 \ Total\\80-76.32=3.68$

Hope this helped!

6 0

3 years ago

Pls help I give brainliest

wel

Answer:

Step-by-step explanation:

it's (m+n-1) √p

hope this helps

4 0

3 years ago

Part B

Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is $4.6\ miles$

Part B) The length of a straight line between the school and the hospital is $2.1\ miles$

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and C(4.3,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(4.3)^{2}}$

$d=4.6\ miles$

Part B) we have that

The hospital is 3.1 miles west of the fire station

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and D(1.2,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(1.2)^{2}}$

$d=2.1\ miles$

7 0

3 years ago