Answer:
m∠STU is 20°
Step-by-step explanation:
If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half the measure of this angle
∵ Ray TV bisects ∠STU
→ That means it divides it into two angles STV and UTV
∴ m∠STV = m∠UTV = [tex]\frac{1}{2}[/tex] m∠STU
∵ m∠STV = ([tex]\frac{1}{4}[/tex]x + 8)°
∴ m∠UTV = (x + 2)°
→ Equate them
∴ x + 2 = [tex]\frac{1}{4}[/tex]x + 8
→ Subtract 2 from both sides
∴ x + 2 - 2 = [tex]\frac{1}{4}[/tex]x + 8 - 2
∴ x = [tex]\frac{1}{4}[/tex]x + 6
→ Subtract [tex]\frac{1}{4}[/tex]x from both sides
∴ x - [tex]\frac{1}{4}[/tex]x = [tex]\frac{1}{4}[/tex]x - [tex]\frac{1}{4}[/tex]x + 6
∴ [tex]\frac{3}{4}[/tex]x = 6
→ Divide both sides by [tex]\frac{3}{4}[/tex] to find x
∴ x = 8
→ Substitute the value of x in the measure of any given angle
∵ m∠UTV = 8 + 2 = 10°
∵ m∠UTV = [tex]\frac{1}{2}[/tex] m∠STU
∴ 10° = [tex]\frac{1}{2}[/tex] m∠STU
→ Multiply both sides by 2
∴ 20° = m∠STU
∴ The measure of angle STU is 20°
What is the approximate distance between points (-7,2) and (11,-5)?
The approximate distance between points (-7,2) and (11,-5) is
=√[11-(-7)]²+[(-5-2)]²
=√(18)²+(-7)²
=√324+49
=√373
Regular exercise can help a person lower their resting heart rate. Suppose an individual's resting heart rate, in beats per minute, is modeled by the function f(x) = –0.1x 3 + 0.6x 2 + 85 after x weeks of regular exercise. How many weeks of exercise are necessary to lower the individual's resting heart rate below 70 beats per minute?
Answer:
pienso que el ejercicio no debería de regularse por nada si no por tu condición física ama lo que miras en el espejo diariamente pero promete a esa persona que se puede ver mejor. y cuando lo haces con amor a ti mismo y también a tu pareja por qué no te vas a sentir espectacular.
Answer:
9 weeks
Step-by-step explanation:
edge
what is the factor form of 2x^2- 7x -15
Answer:
(2x - 7)
Step-by-step explanation:
These are two separate questions by the way :)
1. 2v +8 < 3y + 1
2. - 7m - 16 >= - 2(7 + 3n) - 2
Answer:
1. [tex]v<\frac{3y-7}{2}[/tex]
2. [tex]m\leq \frac{6n}{7}[/tex]
Step-by-step explanation:
1. [tex]2v+8-8<3y+1-8[/tex]
[tex]2v<3y-7[/tex]
[tex]\frac{2v}{2} <\frac{3y}{2} -\frac{7}{2}[/tex]
[tex]v<\frac{3y-7}{2}[/tex]
2. [tex]-7m-16+16\geq -2(7+3n)-2+16\\[/tex]
[tex]-7m\geq -6n\\[/tex]
[tex]7m\geq 6n\\[/tex]
[tex]\frac{7m}{7} \leq \frac{6n}{7}[/tex]
[tex]m\leq \frac{6n}{7}[/tex]
Triangle ABC has a perimeter of 22cm.
AB=8cm
BC=5cm
By calculation deduce, whether triangle ABC is a right angled triangle
Answer:
Step-by-step explanation:
perimeter=22
AB+BC+AC=22
8+5+AC=22
AC=22-13
AC=9
Apply the Pythagorean theorem:
AB²+AB²=AC²
8²+5²=64+25=89
AC²=9²=81
no it is not a right triangle because it failed the Pythagorean theorem
In a class full of men and women, 4/9 of the class are women. What is the ratio of men to women in its simplest form?
Answer:
5:4
Step-by-step explanation:
Since 4/9 of the people are women, that leaves 5/9 as men.
Are these two triangles congruent why or why not!!!!!!!!!???????? WORTH 24 POINTS AND I WILL GIVE YOU BRAINIEST!!!!!!1111
Answer:
not congruent
Step-by-step explanation:
These two triangles are not congruent because for two shapes to be congruent to each other, both needs to have same shape and size and clearly, we can see in this figure that both triangles although are the same shape, are different sizes so therefore these two triangles are not congruent. For example, the height of triangle ADE is 4 whereas the height of triangle CBA is 2.
you decide to drive 75 miles to orlando for the weekend. if you drove at an average speed of 65 mph, the trip would take about ___ minutes. (*round to the nearest minute*)
Answer:69 mins
Step-by-step explanation:
Well 1 hour 9 mins and 14 sec
1) When is a relation a function? What are some
ways to tell if a relation is a function?
Answer:
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!
Step-by-step explanation:
Graph the inequality
b-2>-9
Answer:
b>-7
Step-by-step explanation:
put an empty circle above -7
Then draw a line from the start of the circle to the right
Hope I helped! :)
Solve for missing angle
Answer:
so the exterior angle 152 is made from the interior angle being subtracted from 180. we can also subtract 152 from 180 to find the interior angle. 180-152=28 the inside of a triangle is a total of 180 degrees so 110+28=138 180-138=42 degrees. 42 degrees is the final interior angle and the missing and the missing exterior angle is congruent to the 42 degree angle. So the missing exterior angle is 42 degrees
Step-by-step explanation:
The picture attached has work and the answer! :)
The local furniture store pays $300 for a dining room table and sells it with a 40% markup.
What is the selling price of the dining room table?
Answer:
$420
Step-by-step explanation:
The wholesale price is $300 and the markup is 40% of that, or
0.40($300) = $120
and so the selling price is $300 + $120 = $420
An easier way to calculate this is to multiply $300 by (1.00 + 0.40), or (1.40), which again comes out to $420.
Answer:
$420!
Step-by-step explanation:
Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The flash drive already had 606060 megabytes on it before the transfer, and an additional 444 megabytes were transferred onto it each second.
Graph the relationship between the size of the files on Agent Hunt's drive (in megabytes) and time (in seconds).
2x + 5 =12
What is x
Answer:
7/2
Step-by-step explanation:
2x=12-5....collectible like terms
2x=7
x=7/2...dividing both side by 2
Answer:
soln
we know that,
2x + 5 = 12
or, 2x = 12 - 5
or, 2x = 7
or, x = 7/2
x=7/2
Help and you get Brainliest plz!!!!!!!!
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
Fitness For cardiovascular exercise, you do a combination of walking and running
for 60 minutes. During the 60 minutes, you end up running twice as much as
walking. Let x represent the number of minutes you ran and y represent the
number of minutes you walked. How many minutes did you run and how many
did you walk?
Answer:
You walked for 20 minutes and ran for 40 minutes
Step-by-step explanation:
System of Equations
Let x = the number of minutes you ran
y = the number of minutes you walked
Walking and running takes a total of 60 minutes, thus:
[tex]x+y=60\qquad\qquad [1][/tex]
Running time is twice as much as walking time, thus:
[tex]x=2y\qquad\qquad [2][/tex]
Solve the system by substitution. Taking x from [2] and substitute in [1]:
2y+y=60
Simplifying:
3y=60
Solving:
y=60/3=20
Calculate x from [2]:
x=2*20=40
You walked for 20 minutes and ran for 40 minutes
Please answer correctly !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
The branch of medicine dealing with the ear, nose, and throat. Also known as otolaryngology. ETYMOLOGY: ... Either that, or it's from Greek oto- (ear) + rhino- (nose) + laryngo- (larynx) + -logy (study).
Step-by-step explanation:
Answer:
I think to find the answer you would have to subtract the KL area from 75 and you might need to set up a proportion.
Have fun!
Evaluate f(x)=x+6 when x=−2,0, and 5.
f(−2)=
f(0)=
f(5)=
thank you
Answer:
f(-2) = 4
f(0) = 6
f(5) = 11
Step-by-step explanation:
You just need to plug in the different values of x into the equation
f(x)=x+6
When x = -2, then f(-2) = -2 + 6 = 4
When x = 0, then f(0) = 0 + 6 = 6
When x = 5, then f(5) = 5 + 6 = 11
f(5) = 11 , f(0) = 6 , f(-2) = 4
Given expression:
f(x) = x + 6
Find:
f(−2), f(0), f(5)
Computation:
f(x) = x + 6
When x = -2
f(-2) = -2 + 6
f(-2) = 4
When x = 0
f(0) = 0 + 6
f(0) = 6
When x = 5
f(5) = 5 + 6
f(5) = 11
Learn more:
https://brainly.com/question/1667837?referrer=searchResults
TV Cabinet TV screens are measured on the diagonal. If we have a TV-cabinet that is 72 inches long and 64 inches high, how large a TV could we put in the space (leave 2-inches on all sides for the edging of the TV)? Round your answer to the nearest tenth.
Answer:
94inStep-by-step explanation:
We are expected to solve for the diagonal of a rectangular shape.
given that the length, l=72in
width, w=64in
we can apply the Pythagoras theorem to solve for the diagonal since it corresponds to the hypotenuse of the rectangle
note: we are to leave 2-inches on all sides for the edging of the TV
l=72-2= 70 in
w=64-2=62
diag=√l^2+w^2
diag=√70^2+62^2
diag=√4900+3844
diag=√8744
diag=93.50 in
to the nearest tenth, it is 94in
Simplify to create an equivalent expression. 2(-n-3)-7(5+2n)
Answer:
-16n-41
Step-by-step explanation:
Help me asp 25 points and will mark
Answer:
Slope = - 2
Step-by-step explanation:
Given equation is,
y= - 2x
If x=1, y= -2.
If x=2, y= - 4
Take such few points and plot the graph (1, - 2), (2, - 4)........
Draw a straight line through the points.
For slope, compare the equation with slope intercept form, y=mx + c
Here, c=0 and m=-2
Hope this helps!!
How do I simplify the cube root of 875
Answer:
Step-by-step explanation: divide by 5
5 |875
5 |175
5 |35
5 |7
5/5=0
Question 5
Measure the lengths of the sides of ABC. Then measure the lengths of the sides of A'B'C' when A'B'C' coincides with the other three
triangles. Record the measurements in the table.
Answer:
Step-by-step explanation:
Answer:
Length Length Length Length
1.41 1.41 1.41 1.41
2.24 2.24 2.24 2.24
3 3 3 3
Step-by-step explanation:
.
At a basketball game, 21% were supporting the visiting team. If total number of people attending the game was 1300, how many people were supporters of the home team?
Answer:
1300x0.21= 273 people
1300-273= 1027 people are supporters of the home team
Step-by-step explanation:
Answer:
1027
Step-by-step explanation:
21% 1300=273
1300-273=1027
At their annual car wash, the science club washed 30 cars in 45 minutes. At this rate, how many cars will they wash in 1 hour? A- 40, B-45, C-50, D-60
Answer:
The answer is A 40 cars
Step-by-step explanation:
We can see by dividing 30 by 45 you get 0.66667 repeating. If you then multiply 0.66667 by 60 (There are 60 minutes in an hour) You get 40.02. This rounds down to 40. Please mark me brainliest, and have a tremendous day!
what does x equal in 4(x-4)<16+2x
Answer:
x<16
Step-by-step explanation:
Naoko is building a small art shed in the backyard. She created a blueprint of the floor plan with a scale of 1⁄4 in. To 1 ft. According to the blueprint, the art space has dimensions of 2 1/2 in. By 1 in. What are the dimensions of her art shed in feet?
Answer: 10 feet by 4feet
Step-by-step explanation:
From the question, we are informed that Naoko is building a small art shed in the backyard and that she created a blueprint of the floor plan with a scale of 1⁄4 in. to 1 ft. This means that 1 inch will be to 4 feet.
Since the art space has dimensions of 2 1/2 in. by 1 in. This will be:
= (2 1/2 × 4) by (1 × 4)
= 10 feet by 4 feet
The dimensions of her art shed in feet are 10 feet by 4 feet.
The cost C , in £, of a monthly phone contract is made up of the fixed line rental L , in £, and the price P , in £ ,of the calls made. Enter a formula for the cost and, enter the cost if the line rental is £10 and the price of calls made is £28.
Answer:
C = L + P
C = £38
Step-by-step explanation:
Given that :
Cost (C) is given by :
Sum of fixed line rental (L) ; price (P) of calls made.
Hence,
Cost formula;
C = L + P
Cost if the line rental is £10 and the price of calls made is £28.
C = L + P
If L = £10 ; P = £28
C = £10 + £28
C = £38
Which rational number is between -2 and -3
Answer:
There are infinite numbers between -2 and -3
Step-by-step explanation:
First off these numbers:
-2.1 or this number as any equivilant fraction.
-2.2 or this number as any equivilant fraction
-2.3 or this number as any equivilant fraction
-2.4 or this number as any equivilant fraction
-2.5 or this number as any equivilant fraction
-2.6 or this number as any equivilant fraction
-2.7 or this number as any equivilant fraction
-2.8 or this number as any equivilant fraction
-2.9 or this number as any equivilant fraction
any numbers that are reepeating like : -2.3333333333.....
and any numbers that end and don't go on forever without a single repeating number. -2.485485485485485485485485..... is not rationally repeating. -2.444444444444 is rational.
What is the smallest number that can be added to 1923 to make the answer divisible by 9?
Answer:
3
Step-by-step explanation:
1926/9=214
1923+3=1926