All categories

3 years ago

If line uw bisects angle tuv,, m angle tue = (13x-5) and angle wuv = (7x+31) find the value of x

Mathematics

1 answer:

scZoUnD [109]3 years ago

4 0

The value of x will be 6

Explanation

According to the below diagram, UW is the angle bisector of ∠TUV

That means, $\angle TUW = \angle WUV$

Given that, $\angle TUW = 13x-5$ and $\angle WUV= 7x+31$

So, the equation will be......

$13x-5=7x+31\\ \\ 13x-7x=31+5\\ \\ 6x=36\\ \\ x=\frac{36}{6}=6$

So, the value of x will be 6.

You might be interested in

Which inequality is the solution to 20+2<. 2<5-8? ASAP PLEASE

Natalija [7]

Answer:

C. x > 90

Step-by-step explanation:

20 + 2 < x/3 - 8
22 + 8 < x /3
30 < x /3
30*3 < x
90 < x
x > 90

Correct choice is C

8 0

2 years ago

Tramserran? Do you think you could lend a hand for these questions? You have saved my life on more than one occasion. It's Algeb

Makovka662 [10]

Answer:

#1). 6 , 18 , 54

#2). 5/3 , 14 / 9 , 41/27

#3). 1.5 , 2.5 , 2.5

Step-by-step explanation:

#1).

g(x) = 3x

g(2) = 3 . 2 = 6

g²(2) = 3 . 3 . 2 = 18

g³(2) = 3 . 3 . 3 . 2 = 54

#2).

g(x) = 1/3 x + 1

g(2) = 2/3 + 1 = 5/3

g²(2) = g(5/3) = 5/9 + 1 = 14/9

g³(2) = g(14/9) = 14/27 + 1 = 41/27

#3).

g(x) = -1 ║x - 2 ║ + 3

g(0.5) = -1 (1.5) + 3 = 1.5

g²(0.5) = g(1.5) = -1(0.5) + 3 = 2.5

g³(0.5) = g(2.5) = -1(0.5) + 3 = 2.5

8 0

3 years ago

Read 2 more answers

Jared has taken out a loan for his car. His monthly payments amount to $650. If his loan is for 36 months, and he paid a down pa

miss Akunina [59]

B! 650 x 36 +400 = 23,800!

5 0

3 years ago

Read 2 more answers

1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a

Rudik [331]

Answer:

Part A) $\$42,888.48$

Part B) $A=\$22,304$

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12$

substitute in the formula above

$A=8,500(1+\frac{0.0812}{12})^{12*20}$

$A=8,500(1.0068)^{240}$

$A=\$42,888.48$

Part B) What if the deposit were compounded monthly with simple interest?

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=20\ years\\ P=\$8,500\\r=0.0812$

substitute in the formula above

$A=8,500(1+0.0812*20)$

$A=\$22,304$

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

$A(t)=8,500(1.0068)^{12t}$ ------> equation A

$A(t)=8,500(1+0.0812t)$ -----> equation B

using a graphing tool

see the attached figure

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

5 0

3 years ago

If 15% off an item cost 36.21 then what would 100% of the item be?

harina [27]

1-0.15=0.85
36.21/0.85=42.6=ANSWER

3 0

3 years ago

Read 2 more answers