Answer:
(i) In △ABD and △ACD,
AB=AC ....(since △ABC is isosceles)
AD=AD ....(common side)
BD=DC ....(since △BDC is isosceles)
ΔABD≅ΔACD .....SSS test of congruence,
∴∠BAD=∠CAD i.e. ∠BAP=∠PAC .....[c.a.c.t]......(i)
(ii) In △ABP and △ACP,
AB=AC ...(since △ABC is isosceles)
AP=AP ...(common side)
∠BAP=∠PAC ....from (i)
△ABP≅△ACP .... SAS test of congruence
∴BP=PC ...[c.s.c.t].....(ii)
∠APB=∠APC ....c.a.c.t.
(iii) Since △ABD≅△ACD
∠BAD=∠CAD ....from (i)
So, AD bisects ∠A
i.e. AP bisects∠A.....(iii)
In △BDP and △CDP,
DP=DP ...common side
BP=PC ...from (ii)
BD=CD ...(since △BDC is isosceles)
△BDP≅△CDP ....SSS test of congruence
∴∠BDP=∠CDP ....c.a.c.t.
∴ DP bisects∠D
So, AP bisects ∠D ....(iv)
From (iii) and (iv),
AP bisects ∠A as well as ∠D.
(iv) We know that
∠APB+∠APC=180
∘
....(angles in linear pair)
Also, ∠APB=∠APC ...from (ii)
∴∠APB=∠APC=
2
180
∘
=90
∘
BP=PC and ∠APB=∠APC=90
∘
Hence, AP is perpendicular bisector of
Step-by-step explanation:
HOPE ITS HELP YOU
Select the equation that contains the points (-1, -8) and (3, 4).
Write your own formula. List the first 4 terms and solve for the 10th term using the formula.
Answer:
Below
Step-by-step explanation:
Formula for an arithmetic sequence is an = 4n - 5
First 4 terms are
-1, 3, 7, 11.
10th term = 4(10) - 5
= 35.
Is this the right question
Answer:
no, ssa is the incorrect one
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
It is the first one.
0.12 to the nearest tenth
Answer:
0.1
Step-by-step explanation:
hope this helps
Answer: 0.1 / 0.10
Step-by-step explanation:
since the 2 is lower than 5 - it turns into 0
hope this helped ! :>
HURRY IN TEST!!
Which of the following number lines shows the solution to the inequality given below?
2x − 3 < -9 OR 2x − 3 > 3
Answer: B.
Steps:
solve the inequalities
x <= -3
x>3
match to number line
answer B
Answer:
#LINE B
Step-by-step explanation:
(make sure to look at the color and direction of the arrow)
simplify the quotient. Write the answer in sn.
Answer:
2.4*10^4
Step-by-step explanation:
write in scientific notation
first i would simplify the 3.6/1.5
=2.4
then you get (2.4*10^7)/10^3
formula: (m^x)/(m^y)= m^(x-y)
(2.4*10^7)/10^3
=2.4*10^(7-3)/1
=2.4*10^4
Please Help Me please
Answer:
the 3 one
Step-by-step explanation:
what is 72=2x+16x
please please helppppp meeee
Answer:
x = 4
Step-by-step explanation:
72 = 2x + 16x , that is
72 = 18x ( divide both sides by 18 )
4 = x
Answer:
x=4
Step-by-step explanation:
72=18x
72/18=4
x=4
How do I solve this problem?
How many twelfths make one whole
How many twelfths make one whole
Answer:
12
Step-by-step explanation:
1/12x1/x
1x=12x1
x=12
Answer:
12 twelfths make a whole.
Step-by-step explanation:
when the numerator and the denominator of a fraction are the same, they always equal one. 12/12 would simply to one, just like 3/3 or 200/200.
I hope this helps
x+1=x+2 is there a solution
Answer:
No Solution
Step-by-step explanation:
This is impossible. x+1 is not x+2
Variables are always the same: x=x
Answer:
No their isn't
Step-by-step explanation:
The areas of two similar
squares are 16 m2 and 49 m2.
What is the scale factor of
their side lengths?
[?]:[ ]
Answer:
4:7
Step-by-step explanation:
We know that
Area of square = s²
For square 1
16 = s²
√16 = s
4 = s
For square 2
49 = s²
√49 = s
7 = s
Scale factor = 4:7
30 POINTS!!! A catfish weights about 0.2 pound and its weight increases by about 15% each week. Write an exponential equation that represents the weight of the catfish after t weeks.
Answer:
0.30 15 times 2 easy 30 and this percent so 0.30
Step-by-step explanation:
Evaluate:
[tex] {8}^{ - \frac{2}{3} } [/tex]
with steps please
[tex]8^{-\tfrac 23}\\\\\\=\left(8^{\tfrac 13 }\ \right)^{-2}\\\\\\=\left[\left(2^3\right)^{\tfrac 13} \right]^{-2}\\\\\\=\left(2^{\tfrac 33} \right)^{-2}\\\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\\\=\dfrac 14[/tex]
[tex] {8}^{ - \frac{2}{3} } \\ = {2}^{3 \times - \frac{2}{3} } \\ = {2}^{ - 2} \\ = \frac{1}{2^{ 2}} \\ = \frac{1}{4} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Solve for x.
-8 =X/4
x = −32
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the given cube has a mass of 173 grams, what is it’s density
Answer:
I think the density is 4cm.
Hope that helps you.
Step-by-step explanation:
pls help this a math question. image below
Answer:
D
Step-by-step explanation:
Same X, but different Y value, it is five apart in D
Find the product:
[tex] \frac{1}{8} \times \sqrt{8} [/tex]
Answer:
≈ 0.35
Step-by-step explanation:
First simplify [tex]\sqrt{8}[/tex] and [tex]\frac{1}{8}[/tex] :
[tex]\sqrt{8}[/tex] ≈ 2.83
[tex]\frac{1}{8}[/tex] = 0.125
Now multiply them as shown in the original equation:
0.125 x 2.83 = 0.35375 ≈ 0.35
If 5/3 liters of water is enough to water ⅕ of your yard, 5 3 how much water is needed to water the entire yard?
Answer:
8 1/3 liters
Step-by-step explanation:
create a proportion from water : yard
let 'y' = water for entire yard
5/3 ÷ 1/5 = y ÷ 5/5
5/3 · 5/1 = y/1
25/3 = y/1
3y = 25
y = 8 1/3
if x is reduced by 25%. the result will be
[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer♡}}[/tex]
[tex]a \: number \: x \: is \: reduced \: by \: 25\%[/tex]
[tex]25\% \: of \: x \: means \: ( \frac{25}{100} )(x) = 0.25x \\ \\=> x - 0.25x \\ = > 0.75x[/tex]
hope helpful~
The reduced quantity if x is reduced by 25% is 0.75x.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
x is reduced by 25%,
Calculate the 25% of x as shown below,
25 / 100 × x
0.25x
Calculate the reduced quantity,
Reduced quantity = x - 0.25x
Reduced quantity = x(1 - 0.25)
Reduced quantity = 0.75x
To know more about percentages:
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Please help me with this
Answer:
it is -16
Step-by-step explanation:
I did the math i know for sure
Help find initial value for graph PLSSSSSS the dotted points are (0,8) and (16,20)
Answer:8
Step-by-step explanation:
The initial value, or y-intercept, is the output value when the input of a linear function is zero, as you've already pointed out, the function crosses the y- axis at (0,8)
Anthony is gathering workout clothes. There are 4 pairs of running shoes and 10 workout shirts to choose from. How many different workout outfits can Anthony make?
Answer:
40
Step-by-step explanation:
If b = the number of boys, which algebraic expression represents the phrase
below?
the sum of the number of boys and 15 girls
A. b + 15
B. b. 15
C. b - 15
D.
b
15
Answer:
A. b + 15Step-by-step explanation:
b = the number of boys, substitute below:
The sum of the number of boys and 15 girls → The sum of b and 15 → b + 15Correct choice is A
This is a function?
O True
O False
Answer:
true
Step-by-step explanation:im not really sure
6 O
Which function is graphed on the coordinate plane below?
Ty
x
f(x) = 2x - 6
Of(x) = 2x + 6
f(x) = -2x + 6
Mark this and retum
Save and Exit
Next
Submit
Step-by-step explanation:
we don't see all possible answer options.
but it does not matter.
the line is clearly
y = 2x - 6
why ?
the slope is always the factor of x.
and the slope is defined as ratio of "y coordinate change / x coordinate change".
and we can clearly see, for every change in x by +1, y changes by +2. zu, the slope is 2/1 = 2.
and when x = 0, the graph shows us the y-intercept with y = -6.
hence the above mentioned equation.
The Function is graphed on the coordinate plane is y= 2x- 6.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have points from the graph as (3, 0) and (0, -6).
So, the slope of line is
slope= (-6 -0)/ (0-3)
slope = -6/ (-3)
slope= 2
Now, using the slope intercept form
y= mx + b
y= 2x + b
Now, put x= 3 and y= 0 we get
0= 6 + b
b = -6
So, the required function is
y= 2x - 6.
Learn more about Slope here:
https://brainly.com/question/3605446
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Plz help me with this
Answer:
sorry cant see the question
Step-by-step explanation:
549.5 to 1 decimal place
Answer:
It is still 549.5
Step-by-step explanation:
Rounding to 1 decimal place is just rounding by the tenth place
So it is still 549.5
Hope this helps!
Jonah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would
Jonah use to make 1/2 of a recipe?
Write your answer as a fraction or as a whole or mixed number.
cups
Answer:
1/4 cup
Step-by-step explanation:
Assuming that the recipe makes 1 cup of dressing, Jonah would need 1/4 cup of vinegar. Half of 1/2 is 1/4.