Answer:
m∠A=90°, m∠B=60°, m∠C=30°
Step-by-step explanation:
step 1
Verify if the triangle ABC is a right triangle
Applying the Pythagoras theorem

----> is true
therefore
Is a right triangle
m∠A=90°
Find the measure of angle C
sin(C)=AB/BC
substitute
sin(C)=6/12=1/2
so
m∠C=30°
Find the measure of angle B
we know that
m∠C+m∠B=90°------> by complementary angles
so
m∠B=90°-30°=60°
Answer:
See explanation
Step-by-step explanation:
Statements Reasons
1.
Given
2.
As alternate interior angles when parallel lines AD and BC intersect by ltransversal BD
3.
Given
4.
Reflexive property
5.
SAS postulate
6.
Corresponding parts of congruent triangles are congruent
7.
Inverse alternate interior angles theorem
Answer:
17 divided by 3, the quotient is 5
Step-by-step explanation:because 3x5 is 15 and you cannot go furhter than that.
Answer:
12
Step-by-step explanation:
Answer: a) Georgia, b) 120 words
Step-by-step explanation:
We can calculate how many words they each wrote by multiplying their time and the rate at which they write words.
Richard: 45*16 = 720 words total
Georgia: 70*12 = 840 words total.
Therefore, Georgia wrote 120 more words.