Answer:
x=2
Step-by-step explanation:
PQ+QR=PR
=x^2+3+4+2x=15
=x^2+2x+7=15
=x^2+2x+7-15=0
=x^2+2x-8=0. (quadratic equation)
=(x+4)(x-2)=0. (factorise)
=x+4=0 or x-2=0
x=-4 or 2
we take x to be the positive value which is
x=2
Angle RST is a right angle. Angle RSU has a measure of 25°. Lines R S and S T connect to form a right angle. Another line extends from point S to point U. Angle R S U is 25 degrees. What is the measure of angle TSU?
Answer:
complementary angles, right angle
Step-by-step explanation:
If two angles are complementary angles, then their sum is equal to a right angle
If two angles are complementary angles, then their sum is equal to a right angle
In this problem
-------> by complementary angles
we have
Substitute and solve for Angle TSU
therefore
the answer is the option
65%
Answer:
65 is the measure of angle TSU.
Explanation: This is the correct answer on Edge 2021, just took the unit test. Hope this helps ^-^.
Frank wrote these ratios to describe the number of votes each candidate received compared to the total. Which one is wrong, and why?
Answer:The right answer is (B)
Step-by-step explanation:
Your welcome
Answer:
B) The numbers in the ratio 344 to 111 are written in the wrong order.
Step-by-step explanation:
Edg 2020
Find the coordinates of the midpoint of HK if H (-1, 2) and K (-7, -4).
Answer:
(-4, -1)
Step-by-step explanation:
Given points:
H (-1, 2) and K (-7, -4)Midpoint coordinates are found using midpoint formula:
x = (x1+x2)/2 = (-1 - 7)/ 2 = -8/2 = - 4y = (y1+y2)/2 = (2 - 4)/2 = -2/1 = - 1Point coordinates:
(-4, -1)Math problem a recipe for a dessert requires 3 4/5 cups of strawberries and 1.5 cuos of yogurt . How many cups of strawberries should be used if the recipe was tripled
Answer:
The number of cups of strawberries to be used is 11 2/5 cups
Step-by-step explanation:
Here, we want to know how many cups of strawberries to be used given that the recipe was tripled.
From the question, we are told that the recipe required 3 4/5 cups of strawberries.
Now, by tripling the recipe, it means we will be tripling the individual cups too.
So the number of cups of strawberries to be used will be ;
3 4/5 * 3
3 4/5 as improper fraction is 19/5
so we have 19/5 * 3 = 57/5 = 11 2/5
Consider the triangle. Triangle A B C is shown. Side A B has a length of 15, side B C has a length of 8, side C A has a length of 12. The measures of the angles of the triangle are 32°, 53°, 95°. Based on the side lengths, what are the measures of each angle? mAngleA = 95°, mAngleB = 53°, mAngleC = 32° mAngleA = 32°, mAngleB = 53°, mAngleC = 95° mAngleA = 43°, mAngleB = 32°, mAngleC = 95° mAngleA = 53°, mAngleB = 95°, mAngleC = 32°
Answer:
B
Step-by-step explanation:
mAngleA = 32°, mAngleB = 53°, mAngleC = 95°
The order of sides is equal to the order of opposite angles, which helps us to find that m ∠A = 32°, m ∠B = 53°, and m ∠C = 95°.
Hence, the second option is the right choice.
What is the relation between the sides and the angles of a triangle?In a triangle ABC, where a = BC, b = CA, and c = AB, and we are given that a > b > c, then we can see that ∠A > ∠B > ∠C, that is, the sides and the opposite angles follow the same order.
The largest side of the triangle is opposite the largest angle, while the shortest side of the triangle is opposite the shortest angle.
How to solve the question?In the question, we are asked to consider a triangle ABC, where AB has a length of 15, BC has a length of 8, and CA has a length of 12.
The angles of this triangle are 32°, 53°, and 95°.
We are asked to find the measure of each angle based on the side lengths.
The side opposite ∠A is BC = a.
The side opposite ∠B is CA = b.
The side opposite ∠C is AB = c.
We are given that, AB = 15, BC = 8, and CA = 12.
Thus we can write that AB > CA > BC or c > b > a.
Now, we know that opposite angles follow the same order.
Therefore, we can write that ∠C > ∠B < ∠A.
The 3 angles given to us are 32°, 53°, and 95°.
Thus, we can say that m ∠A = 32°, m ∠B = 53°, and m ∠C = 95°.
Hence, the second option is the right choice.
Learn more about triangles at
https://brainly.com/question/10618012
#SPJ2
What is Avogadro's Number
Answer:
the number of atoms, molecules, ions, formula units, or other particles in a mole of a substance
Step-by-step explanation:
EDU 2020
The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows that USD are stated to the nearest hundredth of a dollar, they used the conversion ratio
Answer:
It will depend on how many euros they intend to convert. If they were only converting one euro they would get $1.35 whichever rate they used, but imagine it was a thousand euros - at the correct rate they would get $1352.61, at the proposed rate they would only get $1350. No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
Find the midpoint of the segment with the following endpoints (-3,-9)(-7,-3)
Answer:
(-5,-6)
Step-by-step explanation:
Let(-3,-9)=(x1,y1)
(-7,-3)=(x2,y2)
Using midpoint formula,
Midpoint(x,y)=((x1+x2)/2,(y1+y2)/2)
=((-3+(-7))/2,(-9+(-3))/2))
=((-3-7)/2),(-9-3)/2))
=((-10/2),(-12/2))
=(-5,-6)
Thus midpoint(x,y)=(-5,-6)
Yo The digit 6 in the number 406,000 is how many times greater than the digit in 400,060
Answer:
s
Step-by-step explanation:
Answer:
The number is 100 x greater than the other number
Step-by-step explanation:
406,000 is the number
400,060 is the comparing number
use a place value .Brainiest would be needed Please.
-11 - 5x = 6(5x + 4)
Answer:
x=-1
Step-by-step explanation:
Answer:
x=-1
Step-by-step explanation:
-11-5x=6(5x+4)
-11-5x=30x+24
-5x=30x+35
-35x=35
-x=1
x=-1
m+7+(-15m) + 9-17m= 58
Answer:
[tex]m=-\frac{42}{31}[/tex]
Step-by-step explanation:
[tex]m+7+\left(-15m\right)+9-17m=58[/tex]
Remove brackets:
[tex]m+7-15m+9-17m=58[/tex]
Group the similar terms together:
[tex]m-15m-17m+7+9=58[/tex]
[tex]-31m+16=58[/tex]
Subtract 16 from both sides:
[tex]-31m+16-16=58-16[/tex]
[tex]-31m=42[/tex]
Divide both sides by -31:
[tex]\frac{-31m}{-31}=\frac{42}{-31}[/tex]
[tex]m=-\frac{42}{31}[/tex]
The BMI equation is:
A)Weight / (Height x Height) x 703
B)None of the above
C)Weight x Body Fat %
D)Weight x Height x 703
E)Weight /Height x 703
Round $.9666 to the nearest cent
Answer:
It would be $0.97
Step-by-step explanation:
You round the nearest cent so you round the second number from the dot
What is the value of 2(5-a)? +7a when a = 2 ?
is it 2(5-2) + 7(2)?
if it is, then here is the answer...
20
Solve: m + 2/3 = 1/2 a. -1 b. 1/6 c. - 1/6 d. 1 1/6
Answer:
c. - 1/6
Step-by-step explanation:
m + 2/3 = 1/2
m=1/2-2/3
m=-1/6
1) For a field trip 11 students rode in cars and the rest filled eight buses. Which equation below will help you find how many students were in each bus if 315 students were on the trip?-------------------------------------------------------------------------------------------------------------------- Number 1) 11x + 8 = 315 ---------------------------------------------------------------------------------------------- Number 2) 315 + 8x = 11 --------------------------------------------------------------------------------------------- Number 3) 8x + 11 = 315 --------------------------------------------------------------------------------------------- ____________________________________________________________________ 2) In the word problem above, use the equation you found to determine how many students were in each bus.
Answer:
Number 3) 8x + 11 = 315
Answer: 38
equation number 3
Step-by-step explanation:
8x+11=315
-11 -11
8x=304
304 ÷8
What is 5^2
please help
Hey there!
ANSWER: [tex]25[/tex]EXPLANATION:[tex]5^2[/tex]
To write [tex]5^2[/tex] as a product, you will need to multiply 5 by its power. That means you have to multiply 5 twice.
[tex]5*5[/tex] which equals [tex]25[/tex].
So your answer is [tex]25[/tex].
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
Find the square root 25
Answer:
5
Step-by-step explanation:
Multiply the number by itself, so because 5 * 5 = 25, the sqrt of 25 is 5.
Drag the expressions to the correct functions. Not all expressions will be used. Consider the functions f and g. f(x)=4x^2+1 g(x)=x^2-3 Perform the function compositions.
Answer:
(f o g)(x) = 4x⁴ - 96x + 37
(g o f)(x) = 16x⁴ + 8x² - 2
Step-by-step explanation:
Since, the given functions are,
f(x) = 4x² + 1
g(x) = x² - 3
(f o g)(x) = f[g(x)]
f[g(x)] = 4(x² - 3)² + 1
= 4(x⁴ - 24x + 9) + 1
= 4x⁴ - 96x + 36 + 1
= 4x⁴ - 96x + 37
(g o f)(x) = g[f(x)]
= (4x² + 1)²- 3
= 16x⁴ + 8x² + 1 - 3
= 16x⁴ + 8x² - 2
Therefore, out of the given options only two expressions are correct.
What is a numerical expression for the verbal expression. eight times six divided by two minus nine
Answer:
15
Step-by-step explanation:
8×6÷2-9
48÷2-9
24-9
15
BRANLIEST how much times does 4 go into 12?
Answer:
3 because 4+4+4=14
1 2 3Step-by-step explanation:
Answer:
3 times
Step-by-step explanation:
12 divided by 4 = 3
Which set of side lengths could be the sides of a triangle?
Ο Α.
28 cm, 7 cm, 20 cm
B.
16 cm, 5 mm, 8 cm
C.
9 cm, 9 cm, 11 cm
OD. 34 cm, 12 cm, 13 cm
Please hurry it’s a Galileo!!!!
Guide Micah harvested 28 watermelons from his garden. He sold w watermelons at the market. Which expression describes the number of watermelons that Micah has remaining?
Answer:
"28 - w"
Step-by-step explanation:
Micah has 28 watermelons
He sells w
28 take away w
28 - w
An alternative could be "28 - w = m"
5 5/9 - 2 4/9?? Help!
Answer:
The answer would be 3 1/9
Step-by-step explanation:
5-2= 3 5/9-4/9 = 1/9
Answer:
3 1/9
Step-by-step explanation:
(5 x 9 + 5)/9 - 2 4/9
(45 + 5)/9 - 2 4/9
50/9 - 2 4/9
50/9 - (2 x 9 + 4)/9
50/9 - (18 + 4)/9
50/9 - 22/9
(50 - 22)/9
28/9
3 1/9
Find the equation of the line shown. (y=mx+c)
Answer:
y=-1/4x + 2
Step-by-step explanation:
The equation T = A3/2 is great if you know A and want to find T. Now, identify the correct inverse equation, which can be used to find A when you are given T. A = T2/3 A = T3/2 T = A2/3 T = A3/2
The inverse equation of the equation is: A =T2/3
The equation is given as:
T = A3/2
To calculate the inverse equation, we start by multiplying both sides of the equation by 2
T2 = A3
Next, we divide both sides of the equation by 3
A =T2/3
The equation cannot be further simplified
Hence, the inverse of the equation is: A =T2/3
Read more about change of subject at:
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The value of A in terms of T is [tex]A=\frac{2}{3}T[/tex]
Inverse equation:The given equation is,
[tex]T=\frac{3}{2}A[/tex]
We have to find value of A in terms of T.
[tex]T=\frac{3}{2}A\\\\A=T\div \frac{3}{2}\\ \\A=T*\frac{2}{3}\\ \\A=\frac{2}{3}T[/tex]
Thus, the value of A in terms of T is [tex]A=\frac{2}{3}T[/tex]
Learn more about the Inverse equation here:
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Solve the quadratic equation 6x²-5x-21=0
Answer:
the answer for your problem is -3/2 by my calculations. Just had a lesson on quadratic equations in class
Find the midpoint between the two points (-2, 6) and (-4,-4).
answer ( ?,?)
Hey there! I'm happy to help!
To find the x value of the midpoint, add the x values and divide by 2.
-2+(-4)=-2-4=-6
-6/2=-3
For the y value, add the y values and divide by 2.
6+(-4)=6-4=2
2/2=1
So, our midpoint is (-3,1).
Have a wonderful day! :D
Please help me i will make you brainliest There's 28 students how many prefer cheese pizza ? 15% sausage 10% supreme 25 %cheese 50% pepperoni
Here is a table showing all 52 cards in a standard deck. Suppose 1 card is drawn at random from a standard deck. Find the odds in favor of drawing an 8. Find the odds against drawing a black face card.
Answer:
4/52 or 1/13
Step-by-step explanation:
this is because there are 13 different cards and you have an equal probability of drawing any of the 13 different cards
