The measure of angle C is 89 degrees.
<u>Step-by-step explanation:</u>
The given polygon ABCD is a quadrilateral.
<u>The property of a quadrilateral :</u>
The sum of the consecutive angles add to 180°.
In this quadrilateral, the angles B and C are consecutive angles. So, the sum of angle B and angle C is equal to 180 degree.
Given that,
- The measure of angle B = 2x+3
- The measure of angle C = 2x+1
<u>To find the value of x :</u>
m∠B + m∠C = 180
(2x+3) + (2x+1) = 180
4x + 4 = 180
4x = 180 - 4
4x = 176
x = 176/4
x = 44
<u>To find m∠C :</u>
m∠C = 2x + 1
⇒ 2(44)+1
⇒ 88+1
⇒ 89°
The measure of angle C is 89 degrees.
Answer:
16/21
Step-by-step explanation:
We are given the equation 3x(5 + 2) = 16.
By order of operations, let's add the two numbers in the parentheses first:
3x(5 + 2) = 16
3x(7) = 16
Now, we must multiply 3x by 7:
3x * 7 = 16
21x = 16
Divide both sides by 21:
x = 16/21
The answer is thus 16/21.
<em>~ an aesthetics lover</em>
To prove that triangles TRS and SUT are congruent we can follow these statements:
1.- SR is perpendicular to RT: Given
2.-TU is perpendicular to US: Given
3.-Angle STR is congruent with angle TSU: Given.
4.-Reflexive property over ST: ST is congruent with itself (ST = ST)
From here, we can see that both triangles TRS and SUT have one angle of 90 degrees, another angle that they both have, and also they share one side (ST) ,then:
5.- By the ASA postulate (angle side angle), triangles TRS and SUT are congruent
Answer:
i did the first
Step-by-step explanation:
1st way
Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5
y = -2/3*X^2-16/3*X-17/3
X = -4 ±√( 15/2) = -6.7386, or -1.2614
Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)
two real roots: X=-1.2613872124776866 and -6.738612787477313
Answer:Sydney’s
Step-by-step explanation:
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