Answers:
RS = 13
ST = 8
==================================================
Explanation:
S is between R and T. I'm assuming also that S is on line RT.
If that's the case, then by the segment addition postulate, we can say RS+ST = RT.
In other words, the longest segment RT is broken into two smaller pieces RS and ST (not necessarily equal but they may be). Gluing the pieces back together should get us the original longest segment.
---------------
Apply substitution and solve for x.
RS+ST = RT
(2x+5)+(3x-4) = 21
(2x+3x)+(5-4) = 21
5x+1 = 21
5x = 21-1
5x = 20
x = 20/5
x = 4
--------------------
If x = 4, then,
RS = 2x+5 = 2*4+5 = 13ST = 3x-4 = 3*4-4 = 8Then notice how RS+ST = 13+8 = 21, which is is the length of RT
This confirms that RS+ST = RT is true and it confirms our answers.
Circle T is shown. Line PS and line RS are tangent to circle T. What is the measure, in degrees, of angle PTR
0Answer:
Angle PTR is 136*
Step-by-step explanation:
In Question, We Have Given
Line PS and RS are Two Tangent To Circle With Centre T & ∠PSR=44* .
Thus ∠SPT=90* & ∠SRT=90* (Property Of Tangent ↔ Tangent always Form 90* With Radius Of Circle)
Now We Have A Quadrilateral SPTR & The Sum Of All Angle Of Quadrilateral is 360* .
Thus The Angle Of PTR is
∠PTR = 360* - ( 90*+90*+44*)
∠PTR = 360* - 224*
∠PTR = 136*
Diagram, Please Find In Attachment
The solution set of 14x - 71 = 9 is
Answer:
40/7
Step-by-step explanation:
14x - 71 = 9
14x=80
x=80/14
x=40/7
Simplify the exprission:
5k - 12k - 1 + k
Step-by-step explanation:
5k-12k-1+k
= 5k-12k+k-1
= -6k-1
The relation defined by the set of ordered pairs {(0,2), (-2,2), (1,4), (0,-1)} is not a
function. Which of the ordered pairs listed below, if omitted from this relation, will make
the resulting set a function.
A) (4,1)
B) (0,-1)
C) (1,4)
D) (-2,2)
Answer:
B
Step-by-step explanation:
In fact in this case there is only a value of y when x is equal to 0
work out 2/7 divided 7/8
Answer:
16/49
Step-by-step explanation:
2/ 7÷ 7/8
Copy dot flip
2/7 * 8/7
Multiply the numerators
2*8 =16
Multiply the denominators
7*7 = 49
numerator over denominator
16/49
Answer:
[tex]\frac{16}{49}[/tex]
Step-by-step explanation:
Identify the missing parts in the proof.
Given: ∠ABC is a right angle.
DB bisects ∠ABC.
Prove: m∠CBD = 45°
A:
B:
C:
D:
Answer:
The missing parts of the proof includes;
1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)
2) m∠CBD = m∠ABD (Definition of angle bisector)
3) m∠CBD + m∠ABD = m∠CBD + m∠CBD (Substitution property of equality)
Step-by-step explanation:
The given details of the proof are;
∠ABC is a right angle = 90°
Line DB is a bisector of ∠ABC
Therefore;
1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate
By the definition of angle bisector, we have;
The angles formed by line DB from ∠ABC are equal,
2) m∠CBD = m∠ABD by the definition of angle bisector
3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality
2 × m∠CBD = 90°
∴ m∠CBD = 90°/2 = 45°
Answer:
A: Given
B: measure the angle ABC = 90
C: angle addition postulate
D: 2 times the measure of angle CBD = 90
Step-by-step explanation:
Hope this helps <3
The scale of a map is 1 : 900000. a) The actual distance between two towns is 180 km. Calculate the distance in cm between the towns on the map
Answer:
20cm
Step-by-step explanation:
since 180km/900000=0.0002km and 0.0002km is = 20cm
When 9 is added to five times a number, we get 19. The number is
Answer:
the number is 2
Step-by-step explanation:
5x2=10+9=19
Yall please help me! Given the image below, which postulate or theorem can be used to prove that Δ ΟΕΗ ΝΔ SH E? ?
Answer:
bottom one
Step-by-step explanation:
the result of a number when increased by 15% is 161. Find the number
Answer:
(15×7)×29/€549×898×68
Will mark branliest please help
Answer:
base =7.6 cm
Step-by-step explanation:
area of a triangle =base * height/2
=11.02*2 =base *height
22.04=base *2.9
22.04/2.9 =base
7.6 =base
Determine whether segments with lengths of 27, 28, and 7 form a triangle. If so, classify the triangle as acute, right, or obtuse,
HELP!!! please
Answer:
38
Step-by-step explanation:
triangle
What is 7,014,999,999 rounded to the nearest hundred thousand
what is the explicit formula for this sequence 2,6,18,54,162
Answer:
x3 just multiply 2 x 3 and then multiply the 6 from that by 3 to get 18 and so on
Step-by-step explanation:
ez
may I please have help from anyone thank you so much !m
Answer:
Hello! answer: 512 cm3
Step-by-step explanation:
8 × 8 × 8 = 512 cm3
Use the formula to solve for the given variable.
Solve
i = Prt
for i, given that
P = $8000,
r = 9%,
and
t = 4 1/2 years.
Answer:
8000 times 0.09 times 4.5
3240 is the amount of interest that will be gained
someone please please answer this I really need help
Answer:
We have ordered pairs (60,360), (120,720), (180,1080), (240,1440), and (300,1800) as the answer.
Step-by-step explanation:
The table would look like this:
Under minutes you would place 60, 120, 180, 240, and 300.
Under calories you would place 360, 720, 1080, 1440, and 1800.
y = 6x
Multiply 60, 120, 180, 240, and 300 by 6 for 6 calories. This gives us the ordered pairs above.
What is the coefficient of the squared term in the parabola's equation?
What is the coefficient of the squared term in the parabola's equation?
Answer:
C.) 3
No files pls just type it in pls and thank you
Answer:♀️
Step-by-step explanation:
H.C.F of 2x²y² , 8xy³
Answer:
Step-by-step explanation:
HCF = 2xy^2
HELP MEEEE PLEASE HELPPPP
Answer: Fatima has $17.50
The step-by-step explanation found at the link at the bottom. Hope you understand!
Which of the following are equivalent to:
x^6•x^4
Select ALL that apply:
A) x^10
B) x^12•x^12
C) x^7•x^3
D) x^8•x^3
E) x^24
F) x^8•x^2
SOMEONE, PLEASE HELP ME!
What is the missing side length in the triangle?
Consider this equation..
Answer:
-27
Step-by-step explanation:
[tex]\sqrt{x^4} - y^2\\\sqrt{3^4} - (-6)^2\\\sqrt{3*3*3*3} - 36\\3*3 - 36\\9 - 36\\-27[/tex]
Answer:
45
Step-by-step explanation:
[tex]\sqrt{x^{4} } -y^{2}[/tex]
Plug in 3 for x and -6 for y
[tex]=\sqrt{3^4}-\left(-6^2\right)[/tex]
[tex]=\sqrt{3^4}+6^2[/tex]
[tex]=\sqrt{3^{4} } =3^{2}[/tex]
[tex]=3^2+6^2[/tex]
[tex]3^{2} =9[/tex]
[tex]=9+6^2[/tex]
[tex]6^{2} =36[/tex]
[tex]=9+36[/tex]
[tex]=45[/tex]
The frequency table below displays 17 students'
responses to the question "What types of caffeinated
drinks do you consume?"
Would it be appropriate to make a pie chart to display
the data?
Coffee
10
Tea
9
Soda
9
Energy
3
Yes, because the data are grouped into categories.
Yes, because the data can be displayed by a
relative frequency compared with the whole.
No, because the data do not consist of parts of a
whole.
No, because the data categories are too broad.
Answer:
a
Step-by-step explanation:
i did the test and it was right
help help me please!!!
Answer:
it is 32
Step-by-step explanation:
the answer is 32 it is the answer
Answer:
32
Step-by-step explanation:
20% of 40 is 8
so 40-8=32
Allison measured her rectangular deck and found that it has dimensions of 5 1/2 yards by 8 yards. Both the length and the width may have a measurement error of up to 1/5%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?
Answer:
yes
Step-by-step explanation:
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = X -4
h(x) = 3/4x
h(x) = 1/4x
Answer:
The answer is h(x)=(1/4)x
Step-by-step explanation:
What goes in the missing space
Answer:
1
Step-by-step explanation:
When we factor (7x + 6) (x + 1), we would go back to
7x² + 13x + 6
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
Answer:
(7x+ 6 ) (x + 1 )
Step-by-step explanation:
7x^2 + 13x+6
This factors into
(7x+ ) (x + )
They give us 6 in the first term We know that the constant is 6 we need a 1 to make the constant to be 6
6*1 = 6
(7x+ 6 ) (x + 1 )
Find the slope of the line passing through (1,3) and (0, -3)
Answer:
Step-by-step explanation:
Slope is y2 - y1 / x2 - x1
x1= 1
x2= 0
y1=3
y2=-3
(-3-3) / (0-1) = -6/-1 = 6
