Mathematics High School

Given △ FDR≅△ TGH, what is the value of x? Please make sure to show all your work.

(please help me)

Answers

Answer 1

2x+6=8x-30
(add 30)
2x+36=8x
(subtract 2x)
36=6x
(divide by 6)
6=x

Answer 2

Answer:

x = 6

Step-by-step explanation:

Since triangle FDR is congruent to triangle TGH, you will put them to equal each other and solve for x.

triangle FDR = 2x + 6

triangle TGH = 8x - 30

2x + 6 = 8x - 30

2x + 6 - 6 = 8x - 30 - 6

2x = 8x - 36

2x - 8x = 8x - 8x - 36

-6x = -36

-6x / - 6 = -36 / -6

x = 6

Now that you have find x, we will check if the statement is true that triangle FDR is congruent to triangle TGH. Plug 6 in the x place.

triangle FDR :-

2x + 6

2(6) + 6

12 + 6

triangle TGH :-

8x - 30

8(6) - 30

48 - 30

So this makes the statement true that triangle FDR is congruent to triangle TGH. Hope this helps, thank you :) !!

Related Questions

5 3/4 divided by 1/3

Answers

Answer:

23/12 (or) 1.917

Step-by-step explanation:

5 3/4 = 5+3/4

(23)/4=5.75

5.75/(1/3) (or) 5.75/3

=1.916666

find the area of the figure below composed of a rectangle with a semicircle removed from it. Round to the nearest tenths place

Answers

Area of rectangle - area of semicircle

L×B - πr square /2

Area = 124/7...

Malik draws quadrilateral STUV in the coordinate plane with vertices at $(-5, -4), T-4-1). U(-1,0), and
V(-3,-3). Then Malik reflects quadrilateral STUV across the y-axis to form quadrilateral STUV. What are
the coordinates of the vertices of quadrilateral STUV?

umm help please

Answers

Answer:

a) The new quadrilateral points are

S¹(5 ,-4) ,T¹(4,-1), U¹(1,0), V¹( 3 ,-3)

Step-by-step explanation:

Explanation:-

Malik draws quadrilateral STUV in the coordinate plane with vertices at $(-5, -4), T-4-1). U(-1,0) , V(-3,-3)

Malik reflects quadrilateral STUV across the y-axis then the transformed to

( x, y) → (-x ,y)

a) S(-5,-4)→S¹(-(-5) , -4)

S((-5,-4)→S¹(5 ,-4)

b) T(-4,-1)→ T¹(-(-4) ,-1)

T(-4,-1)→ T¹(4,-1)

c) U(-1,0) → U¹(-(-1),0)

U(-1,0) → U¹(1,0)

d) V(-3,-3)→ V¹( -(-3) ,-3)

V(-3,-3)→ V¹( 3 ,-3)

final answer:-

The new quadrilateral points are

S¹(5 ,-4) ,T¹(4,-1), U¹(1,0), V¹( 3 ,-3)

Answer the following questions about complementary angles. Complementary angles are 2 angles that add up to 90 degrees.

∠1=20 so ∠2=

∠3=48 so ∠4=

∠5=15 so ∠6=
please help will give brainliest

Answers

Answer:

2=70 ,4=42, 6=75

Step-by-step explanation:

Subtract each number by 90 to find the missing complementary angle.

The cost of 5m of cloth is ₹450. The cost of 8m of cloth is

Answers

Step-by-step explanation:

Rs 720

Cost of 1 m of cloth = 450/5= Rs 90

Cost of 8 m of cloth= 90*80= Rs 720

Answer:

The cost is Rs. 720

Step-by-step explanation:

The cost of 1 meter cloth is Rs.90

So 8 x 90 = 720

Jana divided a sheet of paper into 5 equal sections and colored 2 of the sections red. What precent of the paper did she color ( ik the answer is ez my mom told me to think, but im too lazy to think )

Answers

Answer:

are u dumxb?? asur grandpa in the graveyard

30% i think im not sure

A customer in a store had two 50% off coupons. She tried to buy a purse with them, gave them to the cashier
and explained that the two 50% off coupons should mean that she gets the purse for free. The cashier
disagreed and refused to give the purse for free. What discount should two 50% off coupons actually give at the
store?

Answers

Answer:

Well, I think that the 50% coupons would give you only 50% off of your entire purchace. Not 100% off.

Step-by-step explanation:

find the solutions

question is pasted on the question

Answers

Answer:

1=(5,-2) 2=(1,4)

Step-by-step explanation:

To attend the University of Houston Main Campus, the bank agrees to give you $35,000 loan with a 2%
simple interest rate for 8 years.
How much will you owe back to the bank?
You have 15 years to payback the loan. How much will your monthly payments?

Answers

Answer:

The answer is

$ 225.23 monthly payments.

Please help

I failed this lesson and I really don’t wanna get held back again

Answers

Answer:

TOP LEFT

Step-by-step explanation:

Top left because the data points are closest to the line (they’re not as scattered as the other three choices)

PLEASE HELP I WILL GIVE BRAINLIEST!
Find the value of x
Round to the nearest tenth.
14
19
x= [?]
Law of Cosines: C2 = 22 + b2 - 2ab cos C

Answers

Answer:

22.1°

Step-by-step explanation:

cos^-1(x) = (8² - 19² - 14²) ÷ -2(14)(19)

cos^-1(x) = -493 ÷ -532

cos^-1(0.9267) = 22.1°

Answer:

22.

Step-by-step explanation:

just had this

The polygons below are similar... please help I will mark you brainliest thank youuuu

Answers

Answer:

y=27 and x=9

Step-by-step explanation:

the ratio is 4 to 3

One side of a rectangle is 3 yards longer than twice the length of another side. If the perimeter is 27 yards, what is the length of the longer side

Answers

Answer:

10 yards

Step-by-step explanation:

;)

The required length of the longer side is 10 yards.

What is the perimeter?

Perimeter, is the measure of the figure on its circumference.

Here,
Let's assume that the length of one side of the rectangle is x yards. According to the problem, the other side of the rectangle is 3 yards longer than twice the length of this side. So, the length of the other side can be expressed as 2x + 3 yards.

The perimeter of a rectangle is the sum of the lengths of all its sides. So, we can write an equation to represent the problem:

Perimeter = 2 × length + 2 × width

Substituting the expressions for length and width, we get:

27 = 2(x) + 2(2x + 3)

27 = 2x + 4x + 6

27 = 6x + 6

21 = 6x

x = 3.5

So, the length of one side of the rectangle is 3.5 yards. The other side of the rectangle is 2(3.5) + 3 = 10 yards.

Therefore, the length of the longer side is 10 yards.

Learn more about perimeter here:

brainly.com/question/6465134

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PLEASE ANSWER THE QUESTION IN THE PIC, ill give brainliest

Answers

Step-by-step explanation:

I think it is

5<x</=10

I think this is what it would be

50 POINTS!
What is the value of x in the equation 4(–5 + x) = –4?

A.
–6

B.
–4

C.
4

D.
6

Answers

Answer: C 4

Step-by-step explanation:

the answer is C, x=4

What is the measure of 22?
Angles are not necessarily drawn to scale.
X
Y
32
Z

Answers

Answer:

56 i hope this helps!

Step-by-step explanation:

Well its the answer because its the problems answer! hope this helps

Answer:

[tex]\boxed{\tt x=58^{\circ}}[/tex]

Step-by-step explanation:

From the given diagram, we see that ∠YOZ and ∠XOY are complementary angles.

Complementary angles: two angles with measures that add up to 90°.

[tex]\tt m\angle XOY+m\angle YOZ=90^{\circ}[/tex]

[tex]\tt \angle XOY+\angle YOZ=90^{\circ}[/tex]

[tex]\tt 32^{\circ}+x=90[/tex]

Subtract 32 from both sides:

[tex]\tt 32^{\circ}+x-32^{\circ}=90^{\circ}-32^{\circ}[/tex]

[tex]\tt x=58^{\circ}[/tex]

___________________________________

What is the value of (x)

Answers

if your looking for an answer. X=9

X=9

Tfufylxtxycuoxtxit

x + 16 = 25 What is the value of x?

Answers

Answer:

x = 9

Step-by-step explanation:

Isolate x first by moving 16 to the other side

x = 25 - 16

x = 9

umm hi I have a question Susan brought a dozen cartons for $ 18.50 she will also have to a sails tax of 6% what is the total cost of the carnations

Answers

Answer:

A=$1.11

B=$19.61

Step-by-step explanation:

Convert 6% to decimal so move the decimal 2 places to the left so you get 0.06. You multiply 0.06 by 18.50 and you get 1.11.(Step A)

Then you add 18.50 to 1.11 to get $19.61.

Hope this helps! <3

Answer:

106/100x18.50=1961

Step-by-step explanation:

brainleist

Write a recursive formula for the following arithmetic sequence.
-8, -2, 4, 10,

Answers

A(n)=(an-1)+6 is the answer

Answer:

Step-by-step explanation:

an = a(n-1) + 6

What is the slope of this graph ?

Answers

Answer:

m=1= slope

Step-by-step explanation:

here u do rise/ run

and the dots there are helping you to make it

you need to join them by doing rise over run

you go 3 to the right from the dot at the bottom and 3 up

which is 3/3 that equals to 1

if this is not right, please tell me

if it right then your welcome

WILL GIVE BRAINLIST
The polygons below are smlar, find the vdue of x. N 30 24 32 25 X+4. pe your answer...

Answers

Answer:

Step-by-step explanation:

If they are similar the ratios of lengths are the same.

30:24 = (x+4):12

2(x+4):24

2(x+4)=30

x+4=15

x=11

mark buys a used car for $12,000. the value of the car depreciates 10% per year from the last time he bought the car. how much is the car after 5 years?

Answers

Answer:

1000 car worth after 5 year

Find the mean,median,and mode of the data

Answers

Answer:

B) mean: 79.7 median: 81 mode: 84

question in the image attached8

Answers

Answer:

Step-by-step explanation:

gita took a total of 6 quizzes over the course of 3 weeks.
After attending 4 weeks of school this quarter, how many quizzes will gita have taken in total?

Assume the relationship is directly proportional

display the proportion to solve

Answers

Answer:

8 quizzes

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the answer to 2/5 ÷ 2/3 in simplest form

Answers

x=answer..

2/5÷2/3=

convert last fraction value around:

2/3=3/2

convert ÷ into ×:

2/5×3/2

multiply up to down:

2x3=6

5x2=10

6/10

Simpifly the fraction term:

6/10=3/5

x=3/5

how do you find the value of x^2 + 8 when x = 5

Answers

Answer:

Step-by-step explanation:

when x = 5

x² + 8

= (5)² + 8

= 25 + 8

= 33

Answer:

Step-by-step explanation:

Plug the 5 in the x so it would be 5^2 + 8

Based on the following rule for translations, how will the preimage translate to get the image? (x,y) = (x, y - 3) *

Answers

The preimage will be translated down by 3 units.

What is the surface area of the regular pyramid given below?
A. 280 units2
B. 329 units2
C. 189 units2
D. 140 units2

Answers

The surface area of the regular pyramid in the diagram is 189 units². The correct option is C. 189 units²

Area of a Pyramid

From the question, we are to calculate the surface area of the regular pyramid

The surface area of the pyramid = Sum of area of the triangular faces + Area of the square base

∴ Surface area of the pyramid = [tex]4(\frac{1}{2}bh)+ b^{2}[/tex]

Surface area of the pyramid = 2bh + b²

Where b is the base

and h is the perpendicular height of each triangular faces

In the given diagram,

b = 7

h = 10

∴ Surface area of the pyramid = 2×7×10 + 7²

Surface area of the pyramid = 140 + 49

Surface area of the pyramid = 189 units²

Hence, the surface area of the regular pyramid in the diagram is 189 units². The correct option is C. 189 units²

Learn more on Calculating area of Pyramid here: https://brainly.com/question/22744289

#SPJ1

Answer:

Step-by-step explanation:

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Given △ FDR≅△ TGH, what is the value of x? Please make sure to show all your work. (please help me)

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Given △ FDR≅△ TGH, what is the value of x? Please make sure to show all your work.

(please help me)