1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sweet-ann [11.9K]
3 years ago
13

In the diagram below, ST is parallel to QR. angle P is 40 degrees, and QST is 2R+8. Find the measure of STR in degrees.

Mathematics
1 answer:
lozanna [386]3 years ago
3 0

Answer:

148º

Step-by-step explanation:

Use the information given:

  • The measure of a straight line is 180º. So angle PST=180-(2R+8)
  • Since ST and QR are parallel, angle PST=angle PQR. Now, angle PQR=180-(2R+8)
  • The sum of a triangle's interior angles is 180º. So 40+180-2R-8+R=180º.
  • Combine like terms, 212-R=180
  • Subtract, -R=-32
  • Convert to positive, R=32º

With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:

  • 32º+72º+108º+STR=360º
  • Combine like terms, 212º+STR=360º
  • Subtract, STR=148º
You might be interested in
Someone please help me with this question
zubka84 [21]
You can use pythagorean theorem and square 1.5 and 6 and those added together is the hypotenuse (the slope) squared. the answer is approximately 6.2
8 0
3 years ago
Help! Ill mark you as brain! 15 points!
Alina [70]

Answer:

35 in²

Step-by-step explanation:

The irregular shaped can be divided into two squares and one rectangle, so the area will be the additions of the area of the squares and the rectangle

area of square A = L *B = 3 *3 = 9in²

area of square B = L * B = 4*4 = 16in²

area of rectangle C = L * B = 5 *2 = 10in²

th area of the irregular shape = 9 in² + 16 in² + 10 in² = 35 in²

4 0
3 years ago
An isosceles trapezoid is a quadrilateral with two congruent legs and a pair of parallel bases. Prove the base angles of an isos
Firdavs [7]
Check the picture below.

now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.

now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.

thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.

4 0
3 years ago
6th grade math I reallyyyyy neeedd helpp
UNO [17]
Hello!

Question 6:
To find the area of the pennant, we need to multiply the length by the width. 
12 x 18 = area
12 x 18 = 216
The answer is 216 square inches.

Question 7:
The perimeter of the square is 24cm and the area is 36 square cm.
The perimeter of the rectangle is 30cm and the area is 50 square cm. 
They have different perimeters and different areas.

I hope this helps you! Have a great day!
-Mal

4 0
2 years ago
^^hihihihihihihihih I’m new and I love MHA
Nostrana [21]

Answer:

Welcome and mha is the best!!!

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Can someone please help me with this graph question??? Please???
    8·1 answer
  • What is 720° converted to radians?<br> 1/4<br> pi/4<br> 4/pi<br> 4pi
    9·2 answers
  • If marissa left her apartment at 7:00am riding her bike at 12 mi/h. At 7:30 am her roommate set off after her riding her moped a
    10·1 answer
  • wild deer population weight has standard deviation of 50 lb. What is the probability of existence of a random sample (size 100)
    10·1 answer
  • Write an equation in standard form of the line that passes through the given point and has the given slope (-8,0); m= -4 PLEASE
    10·2 answers
  • Help me please I have to have this done in 5 minutes
    13·2 answers
  • I need help on question 3... Help me please!!!!
    8·2 answers
  • The following triangle is and
    9·2 answers
  • A rectangle is placed around a semicircle as shown below. The width of the rectangle is 3 mm . Find the area of the shaded regio
    14·1 answer
  • What single transformation turns (x, y) into (-y, x)???
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!