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Aleonysh [2.5K]
3 years ago
6

Find the measure of angle T. Please help it’s for a test

Mathematics
1 answer:
stellarik [79]3 years ago
5 0

Answer:

80 degrees

Step-by-step explanation:

A rectangle is a parallelogram, so its opposite angles are congruent and its consecutive angles are supplementary.

So if angle S = 100,then  angle consecutive T is its supplementary (They add to 180)

180-100 = 80

Angle R also = 80

Angle U  =100 (congruent to its opposite

100+100+80+80 = 360

Sum of angles in a  rectangle = 360 degrees.

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In quadrilateral QRST, m is 68°, m is (3x + 40)°, and m is (5x − 52)°. What are the measures of , , and ? Write the numerical va
jonny [76]
TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:  
m∠R, m∠S, m∠T = <span>112°, 112°, 68°.</span>
7 0
3 years ago
Read 2 more answers
What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –Two-thirds(x – 6) and pass
Fantom [35]

The equation is y = Three-halvesx + 1

Step-by-step explanation:

That line should be perpendicular to the given line : y-4 = -2/3 (x-6) and

It passes through (-2,-2)

Write the equation in slope-intercept form as;

y-4= -2/3 (x-6)

y-4=-2/3x + 4

y= -2/3x + 8

The slope m₁, of the equation is -2/3

For perpendicular lines, m₁*m₂= -1

So,finding m₂ where m₁ = -2/3

-2/3 * m₂ = -1

m₂ = -1 * - 3/2 = 3/2

The equation of the line passing through point (-2,-2) with m₂=3/2 will be;

y--2/x--2 = 3/2

y+2/x+2=3/2

2(y+2)=3(x+2)

2y+4=3x+6

2y=3x+6-4

2y=3x+2

y=3/2x +1  ⇒⇒Three-halves *x+1

Learn More

Equation of perpendicular lines : brainly.com/question/11482954

Keyword : equation, slope-intercept form, perpendicular

#LearnwithBrainly

6 0
3 years ago
Read 2 more answers
Need help with this math question 30 points correct answers only pls
Likurg_2 [28]

its the third answer

Step-by-step explanation:

and its only 5 points not 30

3 0
3 years ago
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A realtor earns a 3.25% commission
dlinn [17]

Since the commission is 3.25%, we simply multiply this fraction in decimal form by x, since it will equal 10566.40:

0.0325*x=10566.40

Divide both sides by 0.0325:

x = 10566.40/0.0325

x = 325120

<u>The house sold for $325,120</u>

6 0
3 years ago
Find an equation of the circle with center at (-9,2) and passing through (2,-2) in the form of (x-A)^2+(y-B)^2=C where A,B,C are
Gelneren [198K]
The center going through (-9,2) gives you A and B
(x - - 9)^2 + (y - 2)^2 = r^2
(x + 9)^2 + (y - 2)^2 = r^2

Going from the center to the given point gives you the radius. We need the r^2 which is the way the distance formula works: it will give you r^2. c = r^2

d^2 = (x2 - x1)^2 + (y2 - y1)^2
x2 = -9
x1 = 2
y2 = 2
y1 = -2
r^2 = (-9 - 2)^2 + (2 - - 2)^2
r^2 = (- 11 ) ^2 + (4)^2
r^2 = 121 + 16
r^2 o= 137
So we get
(x + 9)^2 + (y - 2)^2 = 137
4 0
3 years ago
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