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
Elza [17]
2 years ago
15

Triangle abc and xyz are congruent ,/_A is one half the size of /_B,/_y is 90° ./_c and /_z each have a measure of 45°.What is t

he measure of /_ a?
Mathematics
1 answer:
Rashid [163]2 years ago
4 0

Answer:

∠a = 45°

Step-by-step explanation:

We are told that △abc and △xyz are congruent.

Thus;

∠a = ∠x

∠b = ∠y

∠c = ∠z

We are given;

∠y = 90°

Thus, ∠b = 90°

Now,we are told that ∠a is one half the size of ∠b.

Thus; ∠a = ½ × ∠b

∠a = ½ × 90

∠a = 45°

You might be interested in
Find the roots of each equation by factoring
Korolek [52]

Answer:

x=7 x=-7

Step-by-step explanation:

Solution is attached.

7 0
3 years ago
In Δ A B C, the measure of the largest angle is 32 less than 3 times the smallest angle. The measure of the middle angle is 8 mo
AlladinOne [14]

Answer:

52degrees

Step-by-step explanation:

Let the measure of the largest angle be x

middle angle be y

smallest angle be z

Since the sum of angle in a triangle is 180 degrees, hence;

x + y + z = 180 .... 1

If the measure of the largest angle is 32 less than 3 times the smallest angle, then;

x = 3z - 32

3z = x+ 32

z = x+32/3 ..... 2

If he measure of the middle angle is 8 more than half the measure of the largest angle, then;

y = x/2 + 8 .... 3

Substitute 2 and 3 into 1;

x + x/2 + 8 + (x+32)/3 = 180

multiply through by 6

6x + 3x + 48 + 2(x+32) = 1080

9x + 48 + 2x + 64 = 1080

11x + 112 = 1080

11x = 1080-112

11x = 968

x = 968/11

x = 88 degrees

Get the middle angle y;

Since y = x/2 + 8

y = 88/2 + 8

y = 44 + 8

y = 52 degrees

Hence the measure of the middle angle is 52degrees

5 0
3 years ago
What is 10.5% commission of $85,000
VikaD [51]
<span>What is 10.5% commission of $85,000

85,000 x 0.105 = 8,925

answer
$8,925 is </span>10.5% commission of $85,000
8 0
3 years ago
An IV bag contained 1000 ml of a solution. The solution was administered to a patient and now there is 400 ml left in a bag afte
Jet001 [13]

Answer: 100 ml each hour.

Step-by-step explanation:

1000 -400 =600 used from original amount.

Divide 600/6 = 100 ml per hour.

8 0
3 years ago
Mr. Brutry ordered 78 pencils for the students in his class. He ordered enough pencils for each student to have exactly 3
alina1380 [7]

Answer:

He has 26 students

Step-by-step explanation:

78/3=26

4 0
2 years ago
Other questions:
  • If one third of a gallon covers one eight of a wall , how much paint is needed to cover the entire wall A: 8 2:3 / B: 8 1/3 / C:
    7·1 answer
  • A tax form asks people to identify their age, annual income, number of dependents, and social security number. For each of these
    9·1 answer
  • Graph the equations y+4=-3(x+2)
    6·1 answer
  • Round 78.932 to the ones,tenths,and hundredths place.​
    6·1 answer
  • 35 Points !
    5·1 answer
  • Some four​-digit ​numbers, such as 3003 and 6226​, read the same forward and backward. If a boy selects a number from all four​-
    8·1 answer
  • a rectangular blue tile has a length of 4.25 inches and a width of 6.75 inches. a similar tile has a length of 12.75 inches.what
    10·1 answer
  • Please I Need Help <br><br>I'm stuck on this question ⁉️
    5·1 answer
  • Which of these is a mathematical expression?
    7·2 answers
  • At a certain zoo, the average mass of one blue whale is measured to be 1.9 × 105
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!