It tells you they are similar. This means the angles are the same, and the sides are proportionate.
Look at the 12 and 4 at the very bottom. This tells you the ratio of the sides. Since 12 / 4 = 3, you can find y with 2 * 3 which is 6.
From that, you also know that 3z = 3y - 2. Substitute the value of y in and you can find z.
Corresponding angles are exactly the same. which means, (3x)° = 100°
You should get x = 33 1/3, y = 6, z = 5 1/3
Explain how you can use ratios of the side lengths to find the angle measures of the acute angles in a right triangle.
Answer:
The answer is below
Step-by-step explanation:
Triangles are polygons with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangles.
Trigonometric identities are equations that uses trigonometric functions to show the relationship between the angles in a right angle triangle and the sides of the right angled triangle.
If θ be an acute angle in a right angled triangle, hyp. is the hypotenuse side of the angle, opp. is the opposite side to the angle and adj. is the adjacent side to the angle, then:
sinθ = opp. / hyp.v; cosθ = adj. / hyp. ; tanθ = opp. / adj.
Three-quarters of the students that Maria surveyed stated that they liked to sleep in on Saturday morning. If 24 of the students said they liked to sleep in, how many students did Maria survey?
Answer:
6
Step-by-step explanation:
Karl wants to rent a bike for at most $55. He can rent a bike for $7 per hour plus a $9.50 flat fee. Any portion of an hour is charged as a full hour. What is the maximum number of hours Karl can rent the bike?
Dana is buying Grandparents Day gifts at the mall. She spends $13.75 on a teacup for her grandmother. She spends
4
5
of that on a coffee mug for her grandfather. How much money does Dana spend in all?
Answer:
$24.75
Step-by-step explanation:
4/5 of 13.75 = 11
11+13.75= 24.75
Dana spends $24.75 in all.
What is an Equation ?An equation is a mathematical statement that equates two algebraic expression by an equal sign.
The data given in the question is
Dana spends $13.75 on a teacup for her grandmother
She spends 4/5 of that on a coffee mug for her grandfather.
The total amount she spends is given by $x
The equation becomes
x = 13.75 + (4/5) * 13.75
x = $24.75
Therefore she spends $24.75 in all.
To know more about Equation
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Plz help me with all of them plz I will give 65 points
Answer:
7. adjacent (next to each other)
8. vertical (right across from each other)
9. vertical (right across from each other)
10. neither
11. adjacent (right next to each other)
12. neither
Before I go on: all these angles have the same measure as the one across, so ∠SYX has the same measure as ∠UYV (76°), ∠XYW has the same measure as ∠TYU (40°), and ∠WYV has the same measure as ∠SYT (64°)...
13. ∠SYX = 76°
14. ∠XYW = 40°
15. ∠WYV = 64°
These last three are angles added together. They look tricky, but you just note the endpoints and add the measures of the included angles together.
16. ∠SYW = ∠SYX + ∠XYW = 76° + 40° = 106°
∠SYW = 106°
17. ∠TYX = ∠SYX + ∠SYT = 76° + 64° = 140°
∠TYX = 140°
18. ∠VYX = ∠WYV + ∠XYW = 64° + 40° = 104°
∠VYX = 104°
I hope this helps you understand the concept! Have a great day!
It’s says to find the volume...
Answer:
i think its 72 if i'm wrong sorry
Step-by-step explanation:
Answer:
17 cm
Step-by-step explanation:
add the length, width of triangle
what is the circumfrence of this circle? pi=3.14 formulas: C = (pi) * d (or) c=2*(pi) * r
Answer:
75.36 cm
Step-by-step explanation:
Given.
radius (r) = 12 cm
Circumference (C)
= 2*π*r
= 2 * 3.14 * 12
= 75.36 cm
Hope it will help :)
Ms. Ponse drove 200 miles in 4 hours. At that rate how long will it take Ms. Ponse to drive 340 miles?
PLEASE HELP FOR POSSIBLE BRAINLIEST!
Answer:
6.8 hours.
Step-by-step explanation:
200/4 = 50
340/50 = 6.8
Eloise bought 12 grapefruits. Each grapefruit weighed 0.52 pound.
How many pounds of grapefruits did Eloise buy?
Answer:
6.24 pounds
Step-by-step explanation:
12 x .52 = 6.24 pounds
Answer:
The answer would be 6.24lb
Step-by-step explanation:
I took the k12 test
Solve for y. 1 y – 1 3y + 7 10 y E
Answer:
[tex]y = \frac{17}{7}[/tex]
Step-by-step explanation:
1) To solve this question easily, cross multiply first. Multiply the denominator of the first fraction by the numerator of the second fraction, and multiply the denominator of the second fraction by the numerator of the first fraction:
[tex]\frac{y-1}{3y+7}=\frac{1}{10}\\1(3y+7) = 10(y-1)\\3y + 7 = 10y-10[/tex]
2) Now, solve like you would and isolate y. Subtract both sides by 10y.
[tex]3y + 7 = 10y-10\\-7y + 7 = -10[/tex]
3) Then, subtract both sides by 7.
[tex]-7y + 7 = -10\\-7y = -17\\[/tex]
4) Finally, divide both sides by -7 to receive the answer.
[tex]-7y = -17\\y = \frac{-17}{-7} \\y = \frac{17}{7}[/tex]
Is the absolute value of -29 less than 29?
Answer:
no
Step-by-step explanation:
The absolute value is EXACTLY 29, so.
Simplify the expression 9+(3x+4)
Answer:
3x+13
Step-by-step explanation:
=9+(3x+4)
=9+3x+4
=3x+13
HELP ASAPP! Practice 9.4 - 9.5
ONLY QUESTIONS 6,8,9 AND SHOW WORK PLEASE!!
Answer:
6.JMK=90-28
=62
STR=180-118
=62
(PROVEN)
What is the value of x?
Answer:
possibly 4 if not I'm sorry
porfis ayúdenme es para hoy
Answers:
1. V=triangle area × length
V=1/2×8×12×20
V=960in³
2. triangle area × length
Area of the triangle=1/2×4×11
A=22ft²
V=22×6
V=132ft³
3. b, volume always have cubic power (³)
4. d, same reason of question 3
A car travels at an average speed of 68 miles per hour. How many miles does it travel in 5 hours and 45 minutes?
Answer:
391.
Step-by-step explanation:
There is 60 minutes every hour, so you divide by 60. 68 / 60 = 1.1333333333.
Now, we have to find out how many minutes there are in 5 hours and 45 minutes. Since there is 60 minutes every hour, 6 x 5 + 45 = 300 + 45 = 345. 1.1333333333 x 345 = 390.9999999885, rounded = 391.
Find the least common denominator for these fractions. Enter your answer in
the space provided.
1/2 and 3/5
Answer:
10
Step-by-step explanation:
2*5=10
Step-by-step explanation:
step 1. LCD of 1/2 and 3/5 is 10.
Need help with the rule transformation
[tex]T(x,y)=(x+3,y-2)[/tex]
Hope this helps.
2X+1 -2X-8. Solve it
someone please help.
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Factorisation.
Since here both are the roots of the quadratic equation in the factor form, hence
equate them to zero, to get the value of x
hence,
2x-9 = 0
===> x = 9/2
and
3x+5=0
===> x = -5/3
Answer: ............
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answer: Choice B) Investment decreases by 3% each month
=====================================================
Explanation:
We won't use the value 2500 at all.
The base of the exponential is 0.97
Set this equal to 1+r and solve for r
1+r = 0.97
r = 0.97-1
r = -0.03
The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.
Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.
Steps for -3(x+2)=4+2x
Answer:
x = -2
Step-by-step explanation:
-3(x + 2) = 4 + 2x
= -3x + -6 = 4 + 2x (Distribution: -3)
= -3x + -2x - 6 = 4 (Moving the variables to the left and change the signs)
= -3x + -2x = 4 + 6 (Move consatnts to the right and change signs)
= -3x - 2x = + 6 --> (Collect like terms)
= -5x = 10 (Then add)
= (divide -5x = 10 by -5)
= x = 2
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay
35 points!!! Help!! Make sure u answer all!!!
Answer:
Expression for Perimeter: 6x + 6
x = 12 cm
Verify A = 360:
2(12) x (12+3) = 360
24 x 15 = 360
360 = 360
Step-by-step explanation:
How do I solve this?
Answer:
sin (330)
csc (60)
cos (390)
Step-by-step explanation:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions
what is the formula of volume
Answer:
length × width × height.
Step-by-step explanation:
Answer:
length × width × height
Step-by-step explanation:
That is the standard formula for a rectangular shape
NO WRONG ANSWERS !!! Evaluate 501 × 502
Answer:
251,502
Step-by-step explanation:
hope it helps!
....
Answer:
501 × 502 = 251,502
...
4x^2+4x^2-20x+12y-2=0 standard form
Answer:
4x²+4y²-20x+12y-2=0
4x²-20x+4y²+12y = 2
4(x²-5x) + 4(y²+3y) = 2
4(x²-5x+25/4) + 4(y²+3y+9/4) = 2 + 4*25/4 + 4*9/4
4(x-5/2)² + 4(y+3/2)² = 36
(x-5/2)² + (y+3/2)² = 9
Step-by-step explanation:
hope this helped :)
Answer:
y= -2/3x^2 + 5/3x + 1/6
Step-by-step explanation:
Solving quadratics equations by square root method
Answer:
Step-by-step explanation:
Here is an example:
[tex]3x^{2} +7=55[/tex]
-7 on both sides of the equation
[tex]3x^{2} =48[/tex]
divide by 3 on both sides
[tex]x^{2} =16[/tex]
square root the [tex]x^{2}[/tex] and 16
x=±4
pls help w this math question
thx !