The values of the new angles formed measure 87.5° each.
Angles are formed by the intersection of two lines sharing a common endpoint.
Bisect means to divide into two equal parts. Bisection of an angle is to divide an angle into two equal parts.
Given a 175 degree angle is bisected, the measure of each angle is:
Measure of each angle = 175 / 2 = 87.5°
The values of the new angles formed measure 87.5° each.
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Josh, Ben and Rick have 70 marbles altogether. The ratio of the number marbles Josh has to the number of marbles Rick has is 1: 2. However, Ben has 15 marbles fewer than Rick. How many marbles does Ben have?
Answer:
Ben has 19 marbles
Step-by-step explanation:
First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]
Now we put all of these equations into a set to answer them.
[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]
First we solve for j
[tex]2j = r\\ j=\frac{1}{2} r[/tex]
Then substitute j
[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]
Then simplify and multiply by 2 to even out
[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]
Now eliminate the b variable and combine equations
[tex]2b+3r=140\\-2b+2r=30[/tex]
[tex]5r=170[/tex]
Now divide and solve for r
[tex]5r=170\\r=34[/tex]
Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation
[tex]-b+34=15\\b=19[/tex]
Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well
[tex]j=\frac{1}{2}(34)\\j=17[/tex]
And now we know how much everyone has, to check we rewrite all the equations with their respective numbers
[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]
[tex]70=70\\34=34\\34=34[/tex]
Which means the ordered pairing of (b, j, r) is (19, 17, 34)
help for brainliest plz help i am stuck at thing
Answer:
= cot²A
Step-by-step explanation:
ito na po step by step explanation
[tex](1-sin^{2}A)(1+cot^{2}A) = cos^{2}A .\frac{1}{sin^{2}A } = \frac{cos^{2}A }{sin^{2}A } = (\frac{cosA}{sinA} )^{2} =cot^{2}A[/tex]
ok done. Thank to me :>
A fisherman has 420 crabs. He sold one tenth of the crabs for a party. Then he sold two-thirds of the remaining crabs to a restaurant. The fisherman estimates that he has 232 crabs left. How far off is the fisherman's estimate?
Answer:
The answer I'd 28464835383637533
a private and a public university are located in the same city. for the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. for the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. is the difference in the sample proportions statistically significant at the 1% level?
Using the z-distribution, it is found that since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.
At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:
[tex]H_1: p_1 - p_2 \neq 0[/tex]
The proportions and their respective standard errors are given by:
[tex]p_1 = \frac{653}{1046} = 0.6343, s_1 = \sqrt{\frac{0.6343(0.3657)}{1046}} = 0.0149[/tex]
[tex]p_2 = \frac{791}{1327} = 0.5961, s_2 = \sqrt{\frac{0.5961(0.4039)}{1327}} = 0.0135[/tex]
For the distribution of the difference, the mean and the standard error are given by:
[tex]\overline{p} = p_1 - p_2 = 0.6343 - 0.5961 = 0.0382[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0149^2 + 0.0135^2} = 0.0201[/tex]
The test statistic is:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which [tex]p = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.0382 - 0}{0.0201}[/tex]
[tex]z = 1.9[/tex]
The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.01, is of [tex]|z^{\ast}| = 2.576[/tex]
Since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.
A similar problem is given at https://brainly.com/question/25728144
the ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?
halfway between -20 and 10
Answer:
[tex]-5[/tex]
Step-by-step explanation:
Add the two numbers and divide by 2, [tex]-20 + 10 = -10[/tex], [tex]-10 /2 = -5[/tex]
Write the equation of the line in fully simplified slope-intercept form
Answer:
try y = 3x + -6 it might be wrong tho
Step-by-step explanation:
slope intercept form is y = mx + b where m = the slope and b = the y intercept. the y intercept is -6 and the slope is 3/1 or 3 so just plug the numbers in
Determine a series of transformations that would map Figure O onto Figure P.
Answer:
OP question dude..
Step-by-step explanation:
Over Powered
Given tan A = (4/9) and that angle A is in quadrant 1, find the exact value of sin A in simplest radical form using a rational denominator
write the equation of the line in fully simplified slope-intercept form
Answer:
y = 3/5x+1
Step-by-step explanation:
y intercept - (0,1), so b=1
Slope = rise/run = 3/5, so m = 3/5
Our Answer is y = 3/5x+1
If OQ and RT are parallel lines and mZRSP = 55°, what is mZQPS?
Answer:
55 degrees
Step-by-step explanation:
Angles RSP and QPS are Alternate Interior Angles. Given that OQ and RT are parallel, alternate interior angles are always congruent, meaning they have the same measure.
So if angle RSP is 55 degrees and it is congruent to angle QPS, then angle QPS is 55 degrees.
solve pls brainliest
Answer:
Area of the garden is 20 sq. yards
Step-by-step explanation:
A = LW
(The whole figure which is a 6 by 6) - (area of the pool) = The area of garden
(6 × 6) - (4 × 4)
36 - 16 = 20
can someone please help
Answer:
y = - 0.6x + 109
Step-by-step explanation:
The equation in linear form is
y = mx + c ← slope- intercept form
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (25, 94) and (x₂, y₂ ) = (55, 76) ← 2 ordered pairs from the table
m = [tex]\frac{76-94}{55-25}[/tex] = [tex]\frac{-18}{30}[/tex] = - 0.6
y = - 0.6x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (45, 82 ) , then
82 = - 27 + c ⇒ c = 82 + 27 = 109
y = - 0.6x + 109
I need help quick desperate
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
pls help with this question asap!
Answer:
ggggggggggggggggggggg
Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?
Step-by-step explanation:
Answer is in above picture
Find x from this equation 7x-5=10-3x
Answer:
x=1.5
Step-by-step explanation:
7x-5=10-3x <=>7x+3x=10+5 <=> 10x=15 <=> x= 3/2 = 1.5
ok done. Thank to me :>
9. The number of sprouts that Bill, Harvey and Ruth eat is in the ratio 3: 2:5
Bill and Ruth eat 24 sprouts between them.
How many sprouts are eaten altogether?
Please help
Answer: 9:6:15
Step-by-step explanation:
The ratio is Bill : Harvey : Ruth
We are told that bill and ruth both eat 24 sprouts together. The ratio for bill and Ruth would be 3:5
Add the ratios together to get 8
Then divide the amount (24) by 8
This gives you 3. Then times all he numbers in the ratio by 3 to get the answer ; 9 : 6 : 15
Which graph has exactly one y-intercept
Answer:
B
Step-by-step explanation:
It touches the y-axis (one y - intercept)
It also touches the x-axis( one x-intercept)
-Chetan K
2. Find the value of x. Give your answer in
simplest radical form.
20
16
Answer:
12
Step-by-step explanation:
The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12
x=12
An apple sells for 25 cents and a peach sells for 15 cents. A total of 10 fruits were sold for a total of $2.10. How many apples were sold?
Answer:
6 apples
Step-by-step explanation:
A = 0.25
P = 0.15
----------------
A + P = 10
0.25A+0.15P=2.10
----------------
I did this: 0.25*10 = 2.50
2.50-2.10=.40
0.25-0.15=0.10
0.40/0.10 = 4 so 4 peaches
10 fruits - 4 peaches = 6 apples
Please Answer! ASAP!
Answer:
B
Step-by-step explanation:
hope this helps
Use a calculator to find log 0.0019. round answer to 2 decimal places
Answer:
Step-by-step explanation:
-2.72
The steps used to solve this are (for most calculators ) is
log
0.0019
=
If you do not own a scientific calculator, you can use the one that came from windows.
Unfortunately it is slightly different. Make sure you are in scientific mode. Type in 0.0019. Then click on log. Same answer just much longer.
Which is the best example of anticipating a potential accident in a science lab? A student skips the instructions because she has performed the lab before. A student checks for flammable liquids before lighting the Bunsen burner. A student keeps a glass of water on her lab bench in case she gets thirsty. A student works quickly so that she can be on time for her next class
Answer: C
Step-by-step explanation:
i took the test
please help me solve this problem.
Answer:
a=36
Step-by-step explanation:
The given angles are corresponding
2a+3a=180
5a=180
a=180/5=36
In health class, Baldwin is learning about making healthy food choices. For a lesson on
digestive health, his teacher asks everyone to track how much fiber they eat daily. At
breakfast, Baldwin has a banana. He also has raisin bran cereal, which contains 3.7 grams of
fiber. In all, Baldwin eats 6.8 grams of fiber at breakfast.
Use an equation to find the amount of fiber in the banana.
Answer:
There are 3.1 fibers in rhe banana
Step-by-step explanation:
6.8-3.7=3.1
Which expression is an equivalent expression for 2(6y – 4)?
A. 8x – 2
B. 12y – 8
C. 8y
D. 12y + 4
Answer:
B.
Step-by-step explanation:
Because you have to multiply 6y by 2 that is 12y and you have to multiply -4 by 2 that is - 8, you put it together and it's 12y - 8.
An engineer is designing a new dam for a river. The retaining wall of the dam will be angled such that the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at ground level. The outer angled wall will be 100 feet long this relationship is shown in the picture along with the rest of the question.
A: x+y=100
y=3x
B: x^2 + y^2 = 100^2
y= 3x
C: x+y=100
x=3y
D: x^2 + y^2 = 100^2
x=3y
Answer:
B) x² + y² = 100²
y = 3x
Step-by-step explanation:
The pythagorean theorem : a² + b² = c²
c² in this case is 100, and a and b are x and y
The . vertical distance is three times the horizontal, or y = 3x
The correct option is x² + y² = 100², where y = 3x
-Chetan K
Which of the following fractions is less than 1
options: a) 1 1by4 b) 3/4 c) 5/4 d) 2 3by4
Answer:
B
Step-by-step explanation:
11/4=2.75
3/4=0.75
5/4=1.25
23/4=5.75
Answer:
3/4
Step-by-step explanation:
Proper fractions are less than 1
3/4 is proper fraction.(Numerator less than denominator)
[tex]\dfrac{5}{4}=1\dfrac{1}{4}[/tex]
factor -24a - 16b + 40
Answer:
=8(−3a−2b+5)
Step-by-step explanation:
Rewrite the 40 as 5*8.
Rewrite -16 as 2*8
Rewrite -24 as 3*8
= 3* 8a+2*8b+5*8
8(−3a−2b+5)